137531856 has 160 divisors (see below), whose sum is σ = 447971328. Its totient is φ = 35320320.

The previous prime is 137531851. The next prime is 137531869. The reversal of 137531856 is 658135731.

It is a happy number.

It is a super-2 number, since 2×137531856² = 37830022829609472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137531851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469246 + ... + 469538.

Almost surely, 2^137531856 is an apocalyptic number.

137531856 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 137531856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223985664).

137531856 is an abundant number, since it is smaller than the sum of its proper divisors (310439472).

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

137531856 is a wasteful number, since it uses less digits than its factorization.

137531856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 137531856 is about 11727.3976652964. The cubic root of 137531856 is about 516.1799144265.

The spelling of 137531856 in words is "one hundred thirty-seven million, five hundred thirty-one thousand, eight hundred fifty-six".