Remove numbers from the start of filenames

I've a problem modifying the files' names in my Music/ directory. I have a list of names like these: $ ls 01 American Idiot.mp3 01 Articolo 31 - Domani Smetto.mp3 01 Bohemian rapsody.mp3 01 Eye of the Tiger.mp3 04 Halo.mp3 04 Indietro.mp3 04 You Can't Hurry Love.mp3 05 Beautiful girls.mp3 16 Apologize.mp3 16 Christmas Is All Around.mp3 Adam's song.mp3 A far l'amore comincia tu.mp3 All By My Self.MP3 Always.mp3 Angel.mp3 And similar and I would like to cut all the numbers in front of the filenames (not the 3 in the extension). I've tried first to grep only the files with the number with find -exec or xargs but even at this first step I had no success. After being able to grep I'd like doing the actual name change. This is what I tried by now: ls > try-expression grep -E '^[0-9]+' try-expression and with the above I got the right result. Then I tried the next step: ls | xargs -0 grep -E '^[0-9]+' ls | xargs -d '\n' grep -E '^[0-9]+' find . -name '[0-9]+' -exec grep -E '^[0-9]+' {} \; ls | parallel bash -c "grep -E '^[0-9]+'" - {} And similar but I got error like 'File name too long' or no output at all. I guess the problem is the way I'm using xargs or find as expressions in separate commands work well. Thank you for your help