264139128 has 72 divisors (see below), whose sum is σ = 786349200. Its totient is φ = 80039520.

The previous prime is 264139103. The next prime is 264139129. The reversal of 264139128 is 821931462.

264139128 is a `hidden beast` number, since 2 + 641 + 3 + 9 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 264139092 and 264139101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264139129) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6448 + ... + 23871.

Almost surely, 2^264139128 is an apocalyptic number.

It is an amenable number.

264139128 is an abundant number, since it is smaller than the sum of its proper divisors (522210072).

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

264139128 is a wasteful number, since it uses less digits than its factorization.

264139128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30353 (or 30335 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 264139128 is about 16252.3576135895. The cubic root of 264139128 is about 641.6195375816.

The spelling of 264139128 in words is "two hundred sixty-four million, one hundred thirty-nine thousand, one hundred twenty-eight".