138585175137 has 24 divisors (see below), whose sum is σ = 203491551848. Its totient is φ = 90861523200.

The previous prime is 138585175133. The next prime is 138585175139. The reversal of 138585175137 is 731571585831.

138585175137 is a `hidden beast` number, since 1 + 3 + 8 + 585 + 1 + 7 + 51 + 3 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10906878096 + 127678297041 = 104436^2 + 357321^2 .

It is not a de Polignac number, because 138585175137 - 2² = 138585175133 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138585175133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4504587 + ... + 4535247.

Almost surely, 2^138585175137 is an apocalyptic number.

It is an amenable number.

138585175137 is a deficient number, since it is larger than the sum of its proper divisors (64906376711).

138585175137 is a wasteful number, since it uses less digits than its factorization.

138585175137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38961 (or 38958 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 54.

The spelling of 138585175137 in words is "one hundred thirty-eight billion, five hundred eighty-five million, one hundred seventy-five thousand, one hundred thirty-seven".