137658013375680 has 448 divisors, whose sum is σ = 584212793472000. Its totient is φ = 29808652271616.

The previous prime is 137658013375669. The next prime is 137658013375763. The reversal of 137658013375680 is 86573310856731.

137658013375680 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 58 + 0 + 13 + 3 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 58748025 + ... + 61046264.

It is an arithmetic number, because the mean of its divisors is an integer number (1304046414000).

Almost surely, 2^{137658013375680} is an apocalyptic number.

137658013375680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137658013375680 is an abundant number, since it is smaller than the sum of its proper divisors (446554780096320).

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

137658013375680 is a wasteful number, since it uses less digits than its factorization.

137658013375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119794341 (or 119794325 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 137658013375680 in words is "one hundred thirty-seven trillion, six hundred fifty-eight billion, thirteen million, three hundred seventy-five thousand, six hundred eighty".