I like what I got to know as "the Japanese way" to count to 144 on my fingers. I´m sure it´s not exclusive to Japan tho.
Using thumb as a pointer, I count not on the fingers, but their segments. Each finger is 3 segments, which gives 12 per hand. Now, to boost it, one hand is used to count the dozens from the other hand.
Gets me thinking, maybe this is one of the reasons for popularity of 12-based systems in ancient times? Did our ancestors just use their counting fingers better?