The Real Bat is an equippable weapon in Mother 3, found under the Empire Porky Building before fighting Porky Minch. Lucas is the only character able to equip it, and equipping it raises his Offense stat by 100 and, although not stated in its description, his Max PP by 50 points. This item is strongly hinted to have belonged to the protagonists of the previous games, Ness or Ninten. More likely Ness.