137580338563812 has 96 divisors (see below), whose sum is σ = 362546039318400. Its totient is φ = 45107200425600.

The previous prime is 137580338563799. The next prime is 137580338563819. The reversal of 137580338563812 is 218365833085731.

137580338563812 is a `hidden beast` number, since 1 + 3 + 7 + 58 + 0 + 3 + 3 + 8 + 563 + 8 + 12 = 666.

137580338563812 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137580338563812.

It is not an unprimeable number, because it can be changed into a prime (137580338563819) 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, 293729139 + ... + 294197157.

It is an arithmetic number, because the mean of its divisors is an integer number (3776521242900).

Almost surely, 2^{137580338563812} is an apocalyptic number.

137580338563812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137580338563812 is an abundant number, since it is smaller than the sum of its proper divisors (224965700754588).

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

137580338563812 is a wasteful number, since it uses less digits than its factorization.

137580338563812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512714 (or 512706 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 137580338563812 in words is "one hundred thirty-seven trillion, five hundred eighty billion, three hundred thirty-eight million, five hundred sixty-three thousand, eight hundred twelve".