138764313 has 32 divisors (see below), whose sum is σ = 217524480. Its totient is φ = 87246720.

The previous prime is 138764309. The next prime is 138764357. The reversal of 138764313 is 313467831.

138764313 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 643 + 1 + 3 = 666.

It is not a de Polignac number, because 138764313 - 2² = 138764309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138764383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43803 + ... + 46863.

It is an arithmetic number, because the mean of its divisors is an integer number (6797640).

Almost surely, 2^138764313 is an apocalyptic number.

It is an amenable number.

138764313 is a deficient number, since it is larger than the sum of its proper divisors (78760167).

138764313 is a wasteful number, since it uses less digits than its factorization.

138764313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3160 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 138764313 is about 11779.8265267363. The cubic root of 138764313 is about 517.7172035092.

The spelling of 138764313 in words is "one hundred thirty-eight million, seven hundred sixty-four thousand, three hundred thirteen".