204839136 has 72 divisors (see below), whose sum is σ = 583894584. Its totient is φ = 68117760.

The previous prime is 204839123. The next prime is 204839153. The reversal of 204839136 is 631938402.

204839136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 self number, because there is not a number n which added to its sum of digits gives 204839136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233130 + ... + 234006.

It is an arithmetic number, because the mean of its divisors is an integer number (8109647).

Almost surely, 2^204839136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204839136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291947292).

204839136 is an abundant number, since it is smaller than the sum of its proper divisors (379055448).

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

204839136 is a wasteful number, since it uses less digits than its factorization.

204839136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 204839136 is about 14312.2023462499. The cubic root of 204839136 is about 589.4825838121.

The spelling of 204839136 in words is "two hundred four million, eight hundred thirty-nine thousand, one hundred thirty-six".