137517056 has 48 divisors (see below), whose sum is σ = 278623800. Its totient is φ = 67846144.

The previous prime is 137517013. The next prime is 137517067. The reversal of 137517056 is 650715731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 169580 + ... + 170388.

Almost surely, 2^137517056 is an apocalyptic number.

137517056 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 137517056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139311900).

137517056 is an abundant number, since it is smaller than the sum of its proper divisors (141106744).

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

137517056 is an frugal number, since it uses more digits than its factorization.

137517056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 35.

The square root of 137517056 is about 11726.7666472903. The cubic root of 137517056 is about 516.1613981424.

The spelling of 137517056 in words is "one hundred thirty-seven million, five hundred seventeen thousand, fifty-six".