137056920 has 384 divisors, whose sum is σ = 565367040. Its totient is φ = 26127360.

The previous prime is 137056901. The next prime is 137056939. The reversal of 137056920 is 29650731.

It is an interprime number because it is at equal distance from previous prime (137056901) and next prime (137056939).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 840759 + ... + 840921.

It is an arithmetic number, because the mean of its divisors is an integer number (1472310).

Almost surely, 2^137056920 is an apocalyptic number.

137056920 is a gapful number since it is divisible by the number (10) 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 137056920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282683520).

137056920 is an abundant number, since it is smaller than the sum of its proper divisors (428310120).

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

137056920 is a wasteful number, since it uses less digits than its factorization.

137056920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 137056920 is about 11707.1311601092. The cubic root of 137056920 is about 515.5850579161.

The spelling of 137056920 in words is "one hundred thirty-seven million, fifty-six thousand, nine hundred twenty".