137112256512 has 408 divisors, whose sum is σ = 494001356160. Its totient is φ = 35601776640.

The previous prime is 137112256493. The next prime is 137112256601. The reversal of 137112256512 is 215652211731.

137112256512 is a `hidden beast` number, since 1 + 3 + 7 + 112 + 25 + 6 + 512 = 666.

It is a super-2 number, since 2×137112256512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 45414939 + ... + 45417957.

Almost surely, 2^137112256512 is an apocalyptic number.

137112256512 is a gapful number since it is divisible by the number (12) 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 137112256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247000678080).

137112256512 is an abundant number, since it is smaller than the sum of its proper divisors (356889099648).

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

137112256512 is an equidigital number, since it uses as much as digits as its factorization.

137112256512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3042 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The spelling of 137112256512 in words is "one hundred thirty-seven billion, one hundred twelve million, two hundred fifty-six thousand, five hundred twelve".