What is the maximum number of event source mappings per AWS Lambda?

I just ran into a limit. I added 60 CloudWatch triggers to a Lambda function and when I tried adding one more trigger, I got an error saying:

"The final policy size (20643) is bigger than the limit (20480). (Service: AWSLambda; Status Code: 400; Error Code: PolicyLengthExceededException;"

There's a paginated response to http://docs.aws.amazon.com/lambda/latest/dg/API_ListEventSourceMappings.html , and since I can find no info on the lambda limits page, I bet there's no limit (or at least there's some huge number you don't have to practically worry about).