138159585 has 12 divisors (see below), whose sum is σ = 239476692. Its totient is φ = 73685088.

The previous prime is 138159569. The next prime is 138159587. The reversal of 138159585 is 585951831.

138159585 is a `hidden beast` number, since 13 + 8 + 1 + 59 + 585 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65415744 + 72743841 = 8088^2 + 8529^2 .

It is not a de Polignac number, because 138159585 - 2⁴ = 138159569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 3070213 = 138159585 / (1 + 3 + 8 + 1 + 5 + 9 + 5 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 138159585.

It is not an unprimeable number, because it can be changed into a prime (138159587) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1535062 + ... + 1535151.

It is an arithmetic number, because the mean of its divisors is an integer number (19956391).

Almost surely, 2^138159585 is an apocalyptic number.

138159585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138159585 is a deficient number, since it is larger than the sum of its proper divisors (101317107).

138159585 is a wasteful number, since it uses less digits than its factorization.

138159585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070224 (or 3070221 counting only the distinct ones).

The product of its digits is 216000, while the sum is 45.

The square root of 138159585 is about 11754.1305505767. The cubic root of 138159585 is about 516.9640464006.

The spelling of 138159585 in words is "one hundred thirty-eight million, one hundred fifty-nine thousand, five hundred eighty-five".