Update README etc to reference 1.37.1 (#8179)

diff --git a/README.md b/README.md
index 412c971..127bc94 100644
--- a/README.md
+++ b/README.md
@@ -31,8 +31,8 @@
 guide](https://grpc.io/docs/languages/java/quickstart) or the more explanatory [gRPC
 basics](https://grpc.io/docs/languages/java/basics).
 
-The [examples](https://github.com/grpc/grpc-java/tree/v1.37.0/examples) and the
-[Android example](https://github.com/grpc/grpc-java/tree/v1.37.0/examples/android)
+The [examples](https://github.com/grpc/grpc-java/tree/v1.37.1/examples) and the
+[Android example](https://github.com/grpc/grpc-java/tree/v1.37.1/examples/android)
 are standalone projects that showcase the usage of gRPC.
 
 Download
@@ -43,17 +43,17 @@
 <dependency>
   <groupId>io.grpc</groupId>
   <artifactId>grpc-netty-shaded</artifactId>
-  <version>1.37.0</version>
+  <version>1.37.1</version>
 </dependency>
 <dependency>
   <groupId>io.grpc</groupId>
   <artifactId>grpc-protobuf</artifactId>
-  <version>1.37.0</version>
+  <version>1.37.1</version>
 </dependency>
 <dependency>
   <groupId>io.grpc</groupId>
   <artifactId>grpc-stub</artifactId>
-  <version>1.37.0</version>
+  <version>1.37.1</version>
 </dependency>
 <dependency> <!-- necessary for Java 9+ -->
   <groupId>org.apache.tomcat</groupId>
@@ -65,23 +65,23 @@
 
 Or for Gradle with non-Android, add to your dependencies:
 ```gradle
-implementation 'io.grpc:grpc-netty-shaded:1.37.0'
-implementation 'io.grpc:grpc-protobuf:1.37.0'
-implementation 'io.grpc:grpc-stub:1.37.0'
+implementation 'io.grpc:grpc-netty-shaded:1.37.1'
+implementation 'io.grpc:grpc-protobuf:1.37.1'
+implementation 'io.grpc:grpc-stub:1.37.1'
 compileOnly 'org.apache.tomcat:annotations-api:6.0.53' // necessary for Java 9+
 ```
 
 For Android client, use `grpc-okhttp` instead of `grpc-netty-shaded` and
 `grpc-protobuf-lite` instead of `grpc-protobuf`:
 ```gradle
-implementation 'io.grpc:grpc-okhttp:1.37.0'
-implementation 'io.grpc:grpc-protobuf-lite:1.37.0'
-implementation 'io.grpc:grpc-stub:1.37.0'
+implementation 'io.grpc:grpc-okhttp:1.37.1'
+implementation 'io.grpc:grpc-protobuf-lite:1.37.1'
+implementation 'io.grpc:grpc-stub:1.37.1'
 compileOnly 'org.apache.tomcat:annotations-api:6.0.53' // necessary for Java 9+
 ```
 
 [the JARs]:
-https://search.maven.org/search?q=g:io.grpc%20AND%20v:1.37.0
+https://search.maven.org/search?q=g:io.grpc%20AND%20v:1.37.1
 
 Development snapshots are available in [Sonatypes's snapshot
 repository](https://oss.sonatype.org/content/repositories/snapshots/).
@@ -113,7 +113,7 @@
       <configuration>
         <protocArtifact>com.google.protobuf:protoc:3.12.0:exe:${os.detected.classifier}</protocArtifact>
         <pluginId>grpc-java</pluginId>
-        <pluginArtifact>io.grpc:protoc-gen-grpc-java:1.37.0:exe:${os.detected.classifier}</pluginArtifact>
+        <pluginArtifact>io.grpc:protoc-gen-grpc-java:1.37.1:exe:${os.detected.classifier}</pluginArtifact>
       </configuration>
       <executions>
         <execution>
@@ -143,7 +143,7 @@
   }
   plugins {
     grpc {
-      artifact = 'io.grpc:protoc-gen-grpc-java:1.37.0'
+      artifact = 'io.grpc:protoc-gen-grpc-java:1.37.1'
     }
   }
   generateProtoTasks {
@@ -176,7 +176,7 @@
   }
   plugins {
     grpc {
-      artifact = 'io.grpc:protoc-gen-grpc-java:1.37.0'
+      artifact = 'io.grpc:protoc-gen-grpc-java:1.37.1'
     }
   }
   generateProtoTasks {
diff --git a/cronet/README.md b/cronet/README.md
index 5a85d37..d3d79ca 100644
--- a/cronet/README.md
+++ b/cronet/README.md
@@ -26,7 +26,7 @@
 Google Play Services Client Library for Cronet
 
 ```
-implementation 'io.grpc:grpc-cronet:1.37.0'
+implementation 'io.grpc:grpc-cronet:1.37.1'
 implementation 'com.google.android.gms:play-services-cronet:16.0.0'
 ```
 
diff --git a/documentation/android-channel-builder.md b/documentation/android-channel-builder.md
index d516a7d..d86619c 100644
--- a/documentation/android-channel-builder.md
+++ b/documentation/android-channel-builder.md
@@ -36,8 +36,8 @@
 `grpc-okhttp`:
 
 ```
-implementation 'io.grpc:grpc-android:1.37.0'
-implementation 'io.grpc:grpc-okhttp:1.37.0'
+implementation 'io.grpc:grpc-android:1.37.1'
+implementation 'io.grpc:grpc-okhttp:1.37.1'
 ```
 
 You also need permission to access the device's network state in your