204133120 has 72 divisors (see below), whose sum is σ = 494116560. Its totient is φ = 80793600.

The previous prime is 204133099. The next prime is 204133123. The reversal of 204133120 is 21331402.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 204133094 and 204133103.

It is not an unprimeable number, because it can be changed into a prime (204133123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128491 + ... + 130069.

It is an arithmetic number, because the mean of its divisors is an integer number (6862730).

Almost surely, 2^204133120 is an apocalyptic number.

204133120 is a gapful number since it is divisible by the number (20) 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 204133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247058280).

204133120 is an abundant number, since it is smaller than the sum of its proper divisors (289983440).

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

204133120 is a wasteful number, since it uses less digits than its factorization.

204133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 204133120 is about 14287.5162292121. The cubic root of 204133120 is about 588.8045506107.

Adding to 204133120 its reverse (21331402), we get a palindrome (225464522).

The spelling of 204133120 in words is "two hundred four million, one hundred thirty-three thousand, one hundred twenty".