137158056 has 96 divisors (see below), whose sum is σ = 443232000. Its totient is φ = 39184992.

The previous prime is 137158051. The next prime is 137158061. The reversal of 137158056 is 650851731.

137158056 is a `hidden beast` number, since 1 + 3 + 71 + 580 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (137158051) and next prime (137158061).

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

It is a self number, because there is not a number n which added to its sum of digits gives 137158056.

It is not an unprimeable number, because it can be changed into a prime (137158051) 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 23 ways as a sum of consecutive naturals, for example, 4105 + ... + 17063.

It is an arithmetic number, because the mean of its divisors is an integer number (4617000).

Almost surely, 2^137158056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137158056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221616000).

137158056 is an abundant number, since it is smaller than the sum of its proper divisors (306073944).

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

137158056 is a wasteful number, since it uses less digits than its factorization.

137158056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12988 (or 12971 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 137158056 is about 11711.4497821576. The cubic root of 137158056 is about 515.7118456034.

The spelling of 137158056 in words is "one hundred thirty-seven million, one hundred fifty-eight thousand, fifty-six".