137886797028960 has 672 divisors, whose sum is σ = 560410864296192. Its totient is φ = 31391369856000.

The previous prime is 137886797028931. The next prime is 137886797028971. The reversal of 137886797028960 is 69820797688731.

137886797028960 is a `hidden beast` number, since 1 + 3 + 78 + 86 + 79 + 70 + 289 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×137886797028960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 137886797028960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 204600067 + ... + 205272893.

It is an arithmetic number, because the mean of its divisors is an integer number (833944738536).

Almost surely, 2^{137886797028960} is an apocalyptic number.

137886797028960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137886797028960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280205432148096).

137886797028960 is an abundant number, since it is smaller than the sum of its proper divisors (422524067267232).

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

137886797028960 is an equidigital number, since it uses as much as digits as its factorization.

137886797028960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673118 (or 673095 counting only the distinct ones).

The product of its (nonzero) digits is 3072577536, while the sum is 81.

The spelling of 137886797028960 in words is "one hundred thirty-seven trillion, eight hundred eighty-six billion, seven hundred ninety-seven million, twenty-eight thousand, nine hundred sixty".