* U.S. nonfarm payrolls up 157,000 in January * U.S. and European stocks get a lift, MSCI world index higher * U.S. dollar dips against euro to $1.3658 NEW YORK, Feb 1 (Reuters) - U.S. and European stocks gained and the U.S. dollar extended its decline against the euro on Friday after data showed U.S. payrolls grew modestly in January and that gains in the previous two months were bigger than initially reported. The euro's rise to a fresh 14-month high against the dollar came o