204042144 has 48 divisors (see below), whose sum is σ = 554087520. Its totient is φ = 65667840.

The previous prime is 204042127. The next prime is 204042203. The reversal of 204042144 is 441240402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 204042144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33862 + ... + 39429.

It is an arithmetic number, because the mean of its divisors is an integer number (11543490).

Almost surely, 2^204042144 is an apocalyptic number.

204042144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204042144 is an abundant number, since it is smaller than the sum of its proper divisors (350045376).

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

204042144 is a wasteful number, since it uses less digits than its factorization.

204042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73333 (or 73325 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 204042144 is about 14284.3321159934. The cubic root of 204042144 is about 588.7170667791.

Adding to 204042144 its reverse (441240402), we get a palindrome (645282546).

The spelling of 204042144 in words is "two hundred four million, forty-two thousand, one hundred forty-four".