137333328 has 80 divisors (see below), whose sum is σ = 400420800. Its totient is φ = 40176640.

The previous prime is 137333309. The next prime is 137333333. The reversal of 137333328 is 823333731.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10828 + ... + 19796.

It is an arithmetic number, because the mean of its divisors is an integer number (5005260).

Almost surely, 2^137333328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137333328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200210400).

137333328 is an abundant number, since it is smaller than the sum of its proper divisors (263087472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137333328 is a wasteful number, since it uses less digits than its factorization.

137333328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9020 (or 9014 counting only the distinct ones).

The product of its digits is 27216, while the sum is 33.

The square root of 137333328 is about 11718.9303266126. The cubic root of 137333328 is about 515.9314252960.

The spelling of 137333328 in words is "one hundred thirty-seven million, three hundred thirty-three thousand, three hundred twenty-eight".