138851747135577 has 96 divisors (see below), whose sum is σ = 231866578944000. Its totient is φ = 78431577975936.

The previous prime is 138851747135539. The next prime is 138851747135599. The reversal of 138851747135577 is 775531747158831.

138851747135577 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 5 + 1 + 7 + 47 + 1 + 3 + 5 + 577 = 666.

It is not a de Polignac number, because 138851747135577 - 2¹⁴ = 138851747119193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138851747135527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7408182868 + ... + 7408201610.

It is an arithmetic number, because the mean of its divisors is an integer number (2415276864000).

Almost surely, 2^{138851747135577} is an apocalyptic number.

It is an amenable number.

138851747135577 is a deficient number, since it is larger than the sum of its proper divisors (93014831808423).

138851747135577 is a wasteful number, since it uses less digits than its factorization.

138851747135577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22667 (or 22664 counting only the distinct ones).

The product of its digits is 691488000, while the sum is 72.

The spelling of 138851747135577 in words is "one hundred thirty-eight trillion, eight hundred fifty-one billion, seven hundred forty-seven million, one hundred thirty-five thousand, five hundred seventy-seven".