137622704772224 has 32 divisors (see below), whose sum is σ = 313337408188800. Its totient is φ = 58981159187712.

The previous prime is 137622704772199. The next prime is 137622704772229. The reversal of 137622704772224 is 422277407226731.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 137622704772224.

It is not an unprimeable number, because it can be changed into a prime (137622704772229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76798383464 + ... + 76798385255.

It is an arithmetic number, because the mean of its divisors is an integer number (9791794005900).

Almost surely, 2^{137622704772224} is an apocalyptic number.

137622704772224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137622704772224 is an abundant number, since it is smaller than the sum of its proper divisors (175714703416576).

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

137622704772224 is an equidigital number, since it uses as much as digits as its factorization.

137622704772224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153596768740 (or 153596768728 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 56.

The spelling of 137622704772224 in words is "one hundred thirty-seven trillion, six hundred twenty-two billion, seven hundred four million, seven hundred seventy-two thousand, two hundred twenty-four".