137353392 has 90 divisors (see below), whose sum is σ = 422574516. Its totient is φ = 41616960.

The previous prime is 137353379. The next prime is 137353399. The reversal of 137353392 is 293353731.

137353392 is a `hidden beast` number, since 1 + 37 + 3 + 533 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137353399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13483 + ... + 21365.

Almost surely, 2^137353392 is an apocalyptic number.

137353392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137353392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211287258).

137353392 is an abundant number, since it is smaller than the sum of its proper divisors (285221124).

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

137353392 is a wasteful number, since it uses less digits than its factorization.

137353392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7919 (or 7899 counting only the distinct ones).

The product of its digits is 51030, while the sum is 36.

The square root of 137353392 is about 11719.7863461754. The cubic root of 137353392 is about 515.9565494330.

The spelling of 137353392 in words is "one hundred thirty-seven million, three hundred fifty-three thousand, three hundred ninety-two".