The 50 move rule says that if you go 50 moves by both players without a capture or pawn move, then the game is a draw.
The 125 move rule says that if the game goes more than 125 moves by both players, then it's time to give up and find another hobby, because neither of you will ever figure out how to complete a game of chess.
Close, but not quite.
The 125-move rule states that on move 125 of the game, both players are allowed to place a fairy piece of their choice on any unoccupied square on the board, as long as the move does not put the opponent's king in check. To place the piece, the player must stand up from the board, and declare the piece that he wishes to place by announcing, in these exact words: "Fee fi fo fum, I hereby summon a (piece name)!" As one can imagine, many players felt that such requirements made it particularly embarrasing to make the move, and thus nowadays it is extremely uncommon to see a game that lasts to move 125. Even on the rare occasion when it happens, the players at the top have a gentlemen's agreement that neither side will invoke the 125-move rule. So far the players seem to be pretty faithful to this agreement.
125 movie rule means thar you are not supposed to watch more than 125 movies in a year.