204010144 has 96 divisors (see below), whose sum is σ = 464849280. Its totient is φ = 87340032.

The previous prime is 204010139. The next prime is 204010151. The reversal of 204010144 is 441010402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 418669 + ... + 419155.

It is an arithmetic number, because the mean of its divisors is an integer number (4842180).

Almost surely, 2^204010144 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 204010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232424640).

204010144 is an abundant number, since it is smaller than the sum of its proper divisors (260839136).

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

204010144 is a wasteful number, since it uses less digits than its factorization.

204010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 204010144 is about 14283.2119637006. The cubic root of 204010144 is about 588.6862889363.

Adding to 204010144 its reverse (441010402), we get a palindrome (645020546).

The spelling of 204010144 in words is "two hundred four million, ten thousand, one hundred forty-four".