204166144 has 132 divisors (see below), whose sum is σ = 512920884. Its totient is φ = 80510976.

The previous prime is 204166133. The next prime is 204166159. The reversal of 204166144 is 441661402.

It can be written as a sum of positive squares in 2 ways, for example, as 11289600 + 192876544 = 3360^2 + 13888^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 652132 + ... + 652444.

Almost surely, 2^204166144 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 204166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256460442).

204166144 is an abundant number, since it is smaller than the sum of its proper divisors (308754740).

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

204166144 is a wasteful number, since it uses less digits than its factorization.

204166144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 204166144 is about 14288.6718767001. The cubic root of 204166144 is about 588.8363005345.

The spelling of 204166144 in words is "two hundred four million, one hundred sixty-six thousand, one hundred forty-four".