lots and lots. Including a run of many in a row in the early 20th century that I don't think has been surpassed. I used to know these stats and shit- but time marches on and the braincells never regenerate.
Edit- quick count looks like 18 pennants, 7 world series titles... including the very first one. (oops-counted some years twice 'cause of the division series listings. They've got a shitload of those!)