Hi!
It's quite common for brown bands on power-oxide resistors to dis-colour to black and light colours dis-colour to white when overheated, so looking at it, me thinks it's coded 0.18 Ω @ 2W rating, so begin with a 0.18 Ω 2W from RS, Farnell or Mouser - from the rating of the power supply you've given, that looks like a reasonable choice to begin with!
I'd order two or three in case you've got another primary-side or PFC fault that you don't catch first go, than you've got one or two spare!
Chris Williams