137894478568704 has 1080 divisors, whose sum is σ = 488688051541536. Its totient is φ = 38415928320000.

The previous prime is 137894478568703. The next prime is 137894478568711. The reversal of 137894478568704 is 407865874498731.

137894478568704 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 9 + 4 + 47 + 8 + 568 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137894478568703) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 8187041307 + ... + 8187058149.

Almost surely, 2^{137894478568704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137894478568704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244344025770768).

137894478568704 is an abundant number, since it is smaller than the sum of its proper divisors (350793572972832).

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

137894478568704 is a wasteful number, since it uses less digits than its factorization.

137894478568704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17157 (or 17123 counting only the distinct ones).

The product of its (nonzero) digits is 9103933440, while the sum is 81.

The spelling of 137894478568704 in words is "one hundred thirty-seven trillion, eight hundred ninety-four billion, four hundred seventy-eight million, five hundred sixty-eight thousand, seven hundred four".