Well I beat it!
The first thing I noticed is that the music seems to just cut out when it's over and another song doesn't play for a while.
Also I totally found a cheat. Since stepping off the bord resets the ones you stepped on, if the numbers you need are right next to the exit you can easily get them and skip a lot of the path. There's even one that has the number you need directly next to the exit.
I will say though the final puzzle had me stumped for a minute!