137245131616512 has 72 divisors (see below), whose sum is σ = 365398728256576. Its totient is φ = 45732530128896.

The previous prime is 137245131616507. The next prime is 137245131616517. The reversal of 137245131616512 is 215616131542731.

It is an interprime number because it is at equal distance from previous prime (137245131616507) and next prime (137245131616517).

It is a super-2 number, since 2×137245131616512² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (137245131616517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28732663 + ... + 33167094.

Almost surely, 2^{137245131616512} is an apocalyptic number.

137245131616512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137245131616512 is an abundant number, since it is smaller than the sum of its proper divisors (228153596640064).

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

137245131616512 is an equidigital number, since it uses as much as digits as its factorization.

137245131616512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61902663 (or 61902649 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The spelling of 137245131616512 in words is "one hundred thirty-seven trillion, two hundred forty-five billion, one hundred thirty-one million, six hundred sixteen thousand, five hundred twelve".