138159409167 has 48 divisors (see below), whose sum is σ = 223766053056. Its totient is φ = 81587520000.

The previous prime is 138159409163. The next prime is 138159409183. The reversal of 138159409167 is 761904951831.

138159409167 is a `hidden beast` number, since 1 + 38 + 1 + 594 + 0 + 9 + 16 + 7 = 666.

It is not a de Polignac number, because 138159409167 - 2² = 138159409163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138159409163) 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, 56542 + ... + 528692.

It is an arithmetic number, because the mean of its divisors is an integer number (4661792772).

Almost surely, 2^138159409167 is an apocalyptic number.

138159409167 is a deficient number, since it is larger than the sum of its proper divisors (85606643889).

138159409167 is a wasteful number, since it uses less digits than its factorization.

138159409167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472272 (or 472269 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 138159409167 in words is "one hundred thirty-eight billion, one hundred fifty-nine million, four hundred nine thousand, one hundred sixty-seven".