137292056 has 64 divisors (see below), whose sum is σ = 295142400. Its totient is φ = 59299200.

The previous prime is 137292047. The next prime is 137292059. The reversal of 137292056 is 650292731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137292059) 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, 160526 + ... + 161378.

It is an arithmetic number, because the mean of its divisors is an integer number (4611600).

Almost surely, 2^137292056 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 137292056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147571200).

137292056 is an abundant number, since it is smaller than the sum of its proper divisors (157850344).

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

137292056 is a wasteful number, since it uses less digits than its factorization.

137292056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 137292056 is about 11717.1692827235. The cubic root of 137292056 is about 515.8797368105.

The spelling of 137292056 in words is "one hundred thirty-seven million, two hundred ninety-two thousand, fifty-six".