13682700138375 has 48 divisors (see below), whose sum is σ = 24673395845280. Its totient is φ = 7295058892800.

The previous prime is 13682700138347. The next prime is 13682700138439. The reversal of 13682700138375 is 57383100728631.

It is a happy number.

13682700138375 is a `hidden beast` number, since 1 + 368 + 270 + 0 + 1 + 3 + 8 + 3 + 7 + 5 = 666.

It is not a de Polignac number, because 13682700138375 - 2⁵ = 13682700138343 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 1467591 + ... + 5433159.

It is an arithmetic number, because the mean of its divisors is an integer number (514029080110).

Almost surely, 2^{13682700138375} is an apocalyptic number.

13682700138375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13682700138375 is a deficient number, since it is larger than the sum of its proper divisors (10990695706905).

13682700138375 is a wasteful number, since it uses less digits than its factorization.

13682700138375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968657 (or 3968644 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 13682700138375 in words is "thirteen trillion, six hundred eighty-two billion, seven hundred million, one hundred thirty-eight thousand, three hundred seventy-five".