I am a positive integer. All my digits are odd. I am equal to the sum of the cubes of my digits.  I am less than 300. Who am I?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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I am a positive integer.

All my digits are odd.

I am equal to the sum of the cubes of my digits. 

I am less than 300.

Who am I?

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