138127924017 has 48 divisors (see below), whose sum is σ = 216619470288. Its totient is φ = 84492656640.

The previous prime is 138127924009. The next prime is 138127924019. The reversal of 138127924017 is 710429721831.

138127924017 is a `hidden beast` number, since 1 + 38 + 127 + 92 + 401 + 7 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7471700721 + 130656223296 = 86439^2 + 361464^2 .

It is not a de Polignac number, because 138127924017 - 2³ = 138127924009 is a prime.

It is a super-2 number, since 2×138127924017² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138127924019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 989143 + ... + 1120115.

It is an arithmetic number, because the mean of its divisors is an integer number (4512905631).

Almost surely, 2^138127924017 is an apocalyptic number.

138127924017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

138127924017 is a deficient number, since it is larger than the sum of its proper divisors (78491546271).

138127924017 is a wasteful number, since it uses less digits than its factorization.

138127924017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131170 (or 131167 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 138127924017 in words is "one hundred thirty-eight billion, one hundred twenty-seven million, nine hundred twenty-four thousand, seventeen".