Hi and Welcome to TSF
Sounds to me like your AC Charger has shorted out or your Battery. To check this, remove the Battery from your laptop, and plug in ONLY AC Charger. If problem abates, you have a shorted faulty battery and you need to simply replace it.
If problem persists while on AC Charger only (no battery), it's most likely the AC Charger. You have a couple of options. Test the AC Charger with Multimeter and verify the DC voltage output (usually 18Vdc - 20Vdc on most laptops). If it's 10% under or over the rated voltage and like 4Vdc or 32Vdc; it's been damaged and needs to be replaced. If you don't have access to Multimeter or can't figure out how to test, you should take in to your local computer repair shop and have them test for you and find out exactly what the problem is. They will then give you an estimate of parts needed and labor to install/test.
Also, MAKE SURE THE AC CHARGER IS NOT PLUGGED INTO A SURGE PROTECTOR OR SURGE STRIP--THAT DEVICE MAY BE BAD--PLUG IN AC CHARGER DIRECTLY TO WALL OUTLET AND TEST. If it still gets hot and you get shocked, that Charger is shorted and needs to be replaced and possibly damaged the internal electronics as well. One step at a time.
Since it has some internal short that is shocking you--I really would urge you to take to a Professional, as you could be injured while trying to figure out the problem! Just a caution.
BIGBEARJEDI