138764564 has 12 divisors (see below), whose sum is σ = 242921364. Its totient is φ = 69358464.

The previous prime is 138764551. The next prime is 138764567. The reversal of 138764564 is 465467831.

It can be written as a sum of positive squares in 2 ways, for example, as 82664464 + 56100100 = 9092^2 + 7490^2 .

It is a super-2 number, since 2×138764564² = 38511208444220192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138764567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16892 + ... + 23724.

It is an arithmetic number, because the mean of its divisors is an integer number (20243447).

Almost surely, 2^138764564 is an apocalyptic number.

It is an amenable number.

138764564 is a deficient number, since it is larger than the sum of its proper divisors (104156800).

138764564 is a wasteful number, since it uses less digits than its factorization.

138764564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11914 (or 11912 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 138764564 is about 11779.8371805386. The cubic root of 138764564 is about 517.7175156619.

The spelling of 138764564 in words is "one hundred thirty-eight million, seven hundred sixty-four thousand, five hundred sixty-four".