137077056 has 112 divisors (see below), whose sum is σ = 420624000. Its totient is φ = 43693056.

The previous prime is 137077049. The next prime is 137077081. The reversal of 137077056 is 650770731.

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 137077056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38020 + ... + 41468.

Almost surely, 2^137077056 is an apocalyptic number.

137077056 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 137077056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210312000).

137077056 is an abundant number, since it is smaller than the sum of its proper divisors (283546944).

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

137077056 is a wasteful number, since it uses less digits than its factorization.

137077056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 137077056 is about 11707.9911171815. The cubic root of 137077056 is about 515.6103060937.

The spelling of 137077056 in words is "one hundred thirty-seven million, seventy-seven thousand, fifty-six".