Originally posted by tom1803 ...The built-in lens hood becomes loose when the strip of felt material that lines the inside surface wears out and loses friction. I can't recall the exact procedure for removing the hood for the M135/3.5, but you'll obviously need to partially disassemble the lens.
Peel back the rubber grip on the focus ring and there are three holes underneath. Turn the focus ring until the holes line up with screws. I think these are #00 JIS. I can't remember exactly what the screws are holding on but something comes off at that point. My M135/3.5 is hiding somewhere at the moment; Ill conduct a search for it if you need more help.