204142080 has 160 divisors (see below), whose sum is σ = 687456000. Its totient is φ = 51535872.

The previous prime is 204142073. The next prime is 204142123. The reversal of 204142080 is 80241402.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 145221 + ... + 146619.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600).

Almost surely, 2^204142080 is an apocalyptic number.

204142080 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 204142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343728000).

204142080 is an abundant number, since it is smaller than the sum of its proper divisors (483313920).

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

204142080 is a wasteful number, since it uses less digits than its factorization.

204142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 204142080 is about 14287.8297862202. The cubic root of 204142080 is about 588.8131652696.

Adding to 204142080 its reverse (80241402), we get a palindrome (284383482).

The spelling of 204142080 in words is "two hundred four million, one hundred forty-two thousand, eighty".