137388096 has 112 divisors (see below), whose sum is σ = 413512000. Its totient is φ = 44731008.

The previous prime is 137388091. The next prime is 137388103. The reversal of 137388096 is 690883731.

It is a happy number.

The cubic root of 137388096 is 516.

It is a perfect power (a cube), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (137388091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3195051 + ... + 3195093.

Almost surely, 2^137388096 is an apocalyptic number.

137388096 is a gapful number since it is divisible by the number (16) 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 137388096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206756000).

137388096 is an abundant number, since it is smaller than the sum of its proper divisors (276123904).

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

137388096 is an frugal number, since it uses more digits than its factorization.

137388096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 137388096 is about 11721.2668257318.

The spelling of 137388096 in words is "one hundred thirty-seven million, three hundred eighty-eight thousand, ninety-six".