138615165 has 64 divisors (see below), whose sum is σ = 279417600. Its totient is φ = 64634112.

The previous prime is 138615163. The next prime is 138615251. The reversal of 138615165 is 561516831.

138615165 is a `hidden beast` number, since 1 + 38 + 615 + 1 + 6 + 5 = 666.

It is not a de Polignac number, because 138615165 - 2¹ = 138615163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138615163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31267 + ... + 35423.

It is an arithmetic number, because the mean of its divisors is an integer number (4365900).

Almost surely, 2^138615165 is an apocalyptic number.

138615165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138615165 is an abundant number, since it is smaller than the sum of its proper divisors (140802435).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138615165 is a wasteful number, since it uses less digits than its factorization.

138615165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4197 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 138615165 is about 11773.4941712306. The cubic root of 138615165 is about 517.5316510782.

The spelling of 138615165 in words is "one hundred thirty-eight million, six hundred fifteen thousand, one hundred sixty-five".