138264804 has 18 divisors (see below), whose sum is σ = 349502790. Its totient is φ = 46088256.

The previous prime is 138264769. The next prime is 138264817. The reversal of 138264804 is 408462831.

138264804 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 648 + 0 + 4 = 666.

138264804 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 109620900 + 28643904 = 10470^2 + 5352^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3840689 = 138264804 / (1 + 3 + 8 + 2 + 6 + 4 + 8 + 0 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1920309 + ... + 1920380.

Almost surely, 2^138264804 is an apocalyptic number.

It is an amenable number.

138264804 is an abundant number, since it is smaller than the sum of its proper divisors (211237986).

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

138264804 is a wasteful number, since it uses less digits than its factorization.

138264804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840699 (or 3840694 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 138264804 is about 11758.6055295685. The cubic root of 138264804 is about 517.0952488728.

The spelling of 138264804 in words is "one hundred thirty-eight million, two hundred sixty-four thousand, eight hundred four".