137732412072 has 16 divisors (see below), whose sum is σ = 344331030240. Its totient is φ = 45910804016.

The previous prime is 137732412053. The next prime is 137732412107. The reversal of 137732412072 is 270214237731.

137732412072 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137732412072² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137732412072.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2869425228 + ... + 2869425275.

It is an arithmetic number, because the mean of its divisors is an integer number (21520689390).

Almost surely, 2^137732412072 is an apocalyptic number.

137732412072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137732412072 is an abundant number, since it is smaller than the sum of its proper divisors (206598618168).

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

137732412072 is a wasteful number, since it uses less digits than its factorization.

137732412072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738850512 (or 5738850508 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 137732412072 in words is "one hundred thirty-seven billion, seven hundred thirty-two million, four hundred twelve thousand, seventy-two".