204540144 has 120 divisors (see below), whose sum is σ = 566599152. Its totient is φ = 63498240.

The previous prime is 204540143. The next prime is 204540157. The reversal of 204540144 is 441045402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204540143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3859222 + ... + 3859274.

Almost surely, 2^204540144 is an apocalyptic number.

204540144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204540144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283299576).

204540144 is an abundant number, since it is smaller than the sum of its proper divisors (362059008).

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

204540144 is a wasteful number, since it uses less digits than its factorization.

204540144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 204540144 is about 14301.7531792434. The cubic root of 204540144 is about 589.1956327863.

Adding to 204540144 its reverse (441045402), we get a palindrome (645585546).

The spelling of 204540144 in words is "two hundred four million, five hundred forty thousand, one hundred forty-four".