Math for the middle school and elementary teacher

what number am I? I am a 3-digit number. I am equal to the sum of the cubes of my digits. I am between 100 and 200. My digits are odd. Explain whether or not other solutions to the riddle are possible.

My answer was 153...is that correct? please let me know. could 135 work too?

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  1. Both 153 and 135 are correct. I don't see any other solutions.

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