137793264 has 80 divisors (see below), whose sum is σ = 419973120. Its totient is φ = 38096640.

The previous prime is 137793259. The next prime is 137793281. The reversal of 137793264 is 462397731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3802 + ... + 17030.

It is an arithmetic number, because the mean of its divisors is an integer number (5249664).

Almost surely, 2^137793264 is an apocalyptic number.

137793264 is a gapful number since it is divisible by the number (14) 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 137793264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

137793264 is an abundant number, since it is smaller than the sum of its proper divisors (282179856).

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

137793264 is a wasteful number, since it uses less digits than its factorization.

137793264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13278 (or 13272 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 137793264 is about 11738.5375579754. The cubic root of 137793264 is about 516.5067433357.

The spelling of 137793264 in words is "one hundred thirty-seven million, seven hundred ninety-three thousand, two hundred sixty-four".