I'd believe your 150K reading. It looks like there was a poor connection from the lead to the end cap and presumably its in a high voltage circuit so it burnt up from the arcing, which shouldn't have changed the value of the element much as that was protected by the end cap.
Most types of resistors increase in value or go open circuit as they fail. (The exception is carbon composition resistors which tend to initially decrease in value if overloaded as the resin binder in the composition chars however they are no longer common.) so that makes 160K, and the other higher values suggested above extremely unlikely.
You do need to make sure the replacement resistor has an adequate power rating and if it has more than 200V across it, you'll need to get one with a high voltage rating (or use two 75K resistors in series).