With Ohio adding exit numbers and tabs to many non-interstates recently, it seems that the (mostly-) freeway from I-270 to Newark could benefit from some. But since it's made up of 3 different state routes (161, 37, and 16), how would exits be numbered?
They could do the sensible thing, and treat the Columbus– Newcomerstown Macro-Corridor as the main route, and number the exits consistently, starting with 1A–D at 270 / Sunbury / Little Turtle. But they won't do that.
I noticed the other day that the New Albany Bypass has its original button copy signage from circa 2000. That will probably be replaced in a few years, and gain exit numbers based on the state mileage of OH 161. This work will likely include only the Hamilton Rd, New Albany Rd, and US 62 exits, because signage east and west of there is newer.
Thinking wishfully, ODOT might come up with a statewide exit numbering plan that makes sense in the big picture before they haphazardly slap exit numbers on 16, 37, 79, and 161 in Licking County.