137956822503012 has 48 divisors (see below), whose sum is σ = 357703357495680. Its totient is φ = 45980783324064.

The previous prime is 137956822503011. The next prime is 137956822503053. The reversal of 137956822503012 is 210305228659731.

137956822503012 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 5 + 6 + 82 + 250 + 301 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 137956822503012.

It is not an unprimeable number, because it can be changed into a prime (137956822503011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65968128 + ... + 68027255.

It is an arithmetic number, because the mean of its divisors is an integer number (7452153281160).

Almost surely, 2^{137956822503012} is an apocalyptic number.

137956822503012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137956822503012 is an abundant number, since it is smaller than the sum of its proper divisors (219746534992668).

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

137956822503012 is a wasteful number, since it uses less digits than its factorization.

137956822503012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134004929 (or 134004921 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 137956822503012 in words is "one hundred thirty-seven trillion, nine hundred fifty-six billion, eight hundred twenty-two million, five hundred three thousand, twelve".