204150144 has 128 divisors (see below), whose sum is σ = 626590080. Its totient is φ = 58204160.

The previous prime is 204150119. The next prime is 204150157. The reversal of 204150144 is 441051402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 204150144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70387 + ... + 73229.

It is an arithmetic number, because the mean of its divisors is an integer number (4895235).

Almost surely, 2^204150144 is an apocalyptic number.

204150144 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 204150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313295040).

204150144 is an abundant number, since it is smaller than the sum of its proper divisors (422439936).

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

204150144 is a wasteful number, since it uses less digits than its factorization.

204150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 204150144 is about 14288.1119816440. Note that the first 3 decimals coincide. The cubic root of 204150144 is about 588.8209182471.

The spelling of 204150144 in words is "two hundred four million, one hundred fifty thousand, one hundred forty-four".