That’s actually the Bureau of Engraving and Printing, on 14th St. SW, which is indeed worth visiting. They print the paper bills (among other things). The U.S. Mint produces the coins. I think only the Philadelphia Mint still mints coins, but it’s also worth visiting.
Denver also mints coins for circulation (mint mark D) and San Francisco does rarely, but mostly does proof sets (legal tender, but generally kept by collectors). Apparently there’s also a newer mint at West Point which uses a W mint mark and also mints coins for circulation.