204913152 has 180 divisors, whose sum is σ = 624175266. Its totient is φ = 67184640.

The previous prime is 204913147. The next prime is 204913153. The reversal of 204913152 is 251319402.

204913152 is a `hidden beast` number, since 20 + 491 + 3 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203233536 + 1679616 = 14256^2 + 1296^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (204913153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3359202 + ... + 3359262.

Almost surely, 2^204913152 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 204913152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312087633).

204913152 is an abundant number, since it is smaller than the sum of its proper divisors (419262114).

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

204913152 is an frugal number, since it uses more digits than its factorization.

204913152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 204913152 is about 14314.7878782747. The cubic root of 204913152 is about 589.5535759243.

The spelling of 204913152 in words is "two hundred four million, nine hundred thirteen thousand, one hundred fifty-two".