138312765 has 40 divisors (see below), whose sum is σ = 262536120. Its totient is φ = 69424128.

The previous prime is 138312751. The next prime is 138312767. The reversal of 138312765 is 567213831.

138312765 is a `hidden beast` number, since 1 + 383 + 1 + 276 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9308601 + 129004164 = 3051^2 + 11358^2 .

It is not a de Polignac number, because 138312765 - 2⁴ = 138312749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138312767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3160 + ... + 16929.

It is an arithmetic number, because the mean of its divisors is an integer number (6563403).

Almost surely, 2^138312765 is an apocalyptic number.

138312765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138312765 is a deficient number, since it is larger than the sum of its proper divisors (124223355).

138312765 is a wasteful number, since it uses less digits than its factorization.

138312765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20123 (or 20114 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 138312765 is about 11760.6447527336. The cubic root of 138312765 is about 517.1550315929.

The spelling of 138312765 in words is "one hundred thirty-eight million, three hundred twelve thousand, seven hundred sixty-five".