137356992 has 112 divisors (see below), whose sum is σ = 417880800. Its totient is φ = 44190720.

The previous prime is 137356979. The next prime is 137357029. The reversal of 137356992 is 299653731.

137356992 is a `hidden beast` number, since 13 + 73 + 569 + 9 + 2 = 666.

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, 48742 + ... + 51482.

Almost surely, 2^137356992 is an apocalyptic number.

137356992 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 137356992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208940400).

137356992 is an abundant number, since it is smaller than the sum of its proper divisors (280523808).

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

137356992 is a wasteful number, since it uses less digits than its factorization.

137356992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2775 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 137356992 is about 11719.9399315867. The cubic root of 137356992 is about 515.9610570935.

The spelling of 137356992 in words is "one hundred thirty-seven million, three hundred fifty-six thousand, nine hundred ninety-two".