137657856 has 240 divisors, whose sum is σ = 447828480. Its totient is φ = 37416960.

The previous prime is 137657837. The next prime is 137657873. The reversal of 137657856 is 658756731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2333155 + ... + 2333213.

It is an arithmetic number, because the mean of its divisors is an integer number (1865952).

Almost surely, 2^137657856 is an apocalyptic number.

137657856 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 137657856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

137657856 is an abundant number, since it is smaller than the sum of its proper divisors (310170624).

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

137657856 is an equidigital number, since it uses as much as digits as its factorization.

137657856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The square root of 137657856 is about 11732.7684712518. The cubic root of 137657856 is about 516.3374992932.

The spelling of 137657856 in words is "one hundred thirty-seven million, six hundred fifty-seven thousand, eight hundred fifty-six".