Unsurprising, perhaps, that such a Whale of a Tale has inspired several songs. The best of those I can find online is 'The Exploding Whale Song' by Dan Tanz[0], but my all time favorite is Kay Shapero's 'Blubber'[1].
[0] https://youtu.be/cR3JcMblV0o
[1] Lyrics only, unfortunately: http://www.kayshapero.net/kaysongs.htm#Blubber