It's a Rotary
Making phone calls as a kid required patience, and time. Dialing the phone was an art form. When a phone number had 7-8-9 or a 0 in it, you better have a strong finger! If it slipped just a bit, you risked getting a wrong number, then starting the whole process over. Then there was the clunky, heavy receiver which would bruise your ear if you spent more than ten minutes on the phone! A private call required several steps. First, a location that you could get the phone to! We would sneak the phone as far as the cord from the wall would go, then take the receiver with you and hope no one tripped on the cord (or it would pull out and you would get disconnected). Phone calls were a special event. When the phone rang, aside from it ringing, you would announce "The Phone..." in hopes that someone would answer it. There was no caller ID, no call waiting, no machines- just plenty of wrong numbers and hours of fun making crank calls!
P.S. The number on the painting was my grandparents, who lived in Albany, NY. It is the only number I remember from my childhood...probably because of the letters!