Try these tips.

If one of your neighbors remote controls is inadvertently programmed into your receiver, you door will open when their remote is activated. If this happens you will need to clear out your receiver and reprogram your remote controls. Press and hold the smart/learn button for 6 seconds or until you see the small LED light near the button turn itself off. If the above steps have been followed and the symptoms continue, there may be an electronic short in either the wall control button or the receiver logic board. In this case, remove the wall control wires from terminals 1 and 2 on the motor unit. Should the symptoms persist after the wires are removed, replace the receiver logic board. If the symptoms stop with the wall control wires removed from the motor unit, replace the wall control button, and the wires leading to the wall control button.

I have a sear craftsman garage door opener 139.53615SR , this can be opened by neighs' remote. I try to erase the older code on receivers, but it did not work by pressing and holding the SR button for 6 seconds or 10 seconds. while I pressed and held the SR button, the SR light did not turn out. the code still there when I try to open the garage door by remote after I try to erase them from the craftsman garage receiver. I hope Door opener experts can tell me the better methods to erase the old code on the receiver.

Here is a link that might be useful: Julie38

I have the exact same receiver and the exact same problem. What did you wind up doing in the end?

Thanks.