[jaskerr]

The OS X* equivalent is A Better Finder Rename: http://www.publicspace.net/ABetterFinderRename/

When installed, you can use the app or call it as a service.

Not sure if it's as full-featured as Bulk Rename Utility, but it's close. [regex replace is hidden under Advanced & Special, which will tell you a bit about their target market.]

* Available for OS X 10.[12]-11, and macOS 10.12