204983136 has 192 divisors, whose sum is σ = 632318400. Its totient is φ = 65318400.

The previous prime is 204983101. The next prime is 204983137. The reversal of 204983136 is 631389402.

204983136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 204983136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204983137) 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, 2029486 + ... + 2029586.

It is an arithmetic number, because the mean of its divisors is an integer number (3293325).

Almost surely, 2^204983136 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 204983136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316159200).

204983136 is an abundant number, since it is smaller than the sum of its proper divisors (427335264).

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

204983136 is an equidigital number, since it uses as much as digits as its factorization.

204983136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

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

The square root of 204983136 is about 14317.2321347389. The cubic root of 204983136 is about 589.6206850400.

The spelling of 204983136 in words is "two hundred four million, nine hundred eighty-three thousand, one hundred thirty-six".