13807400074137 has 128 divisors (see below), whose sum is σ = 22173068736000. Its totient is φ = 8460397486080.

The previous prime is 13807400074081. The next prime is 13807400074157. The reversal of 13807400074137 is 73147000470831.

It is a happy number.

13807400074137 is a `hidden beast` number, since 1 + 380 + 74 + 0 + 0 + 0 + 74 + 137 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-13807400074137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13807400074092 and 13807400074101.

It is not an unprimeable number, because it can be changed into a prime (13807400074157) 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 127 ways as a sum of consecutive naturals, for example, 1811753187 + ... + 1811760807.

It is an arithmetic number, because the mean of its divisors is an integer number (173227099500).

Almost surely, 2^{13807400074137} is an apocalyptic number.

13807400074137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13807400074137 is a deficient number, since it is larger than the sum of its proper divisors (8365668661863).

13807400074137 is a wasteful number, since it uses less digits than its factorization.

13807400074137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 13807400074137 in words is "thirteen trillion, eight hundred seven billion, four hundred million, seventy-four thousand, one hundred thirty-seven".