No, it isn’t a beatles uke, although George Harrison was known for playing one and promoting them as an instrument everyone should have and play as he explains in a letter on this page which also includes some video.
My ninth is one of my favorites, a Martin OXK. It sits in my library on a little shelf I made out of scrap wood that slides under some books and keeps it near at hand when I’m sitting at my desk. (Everything in my tiny library is near at hand from everywhere else in the library.) The review here pretty much sums up why I like it.