204156120 has 128 divisors (see below), whose sum is σ = 702950400. Its totient is φ = 46465536.

The previous prime is 204156103. The next prime is 204156137. The reversal of 204156120 is 21651402.

It is an interprime number because it is at equal distance from previous prime (204156103) and next prime (204156137).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301222 + ... + 301898.

It is an arithmetic number, because the mean of its divisors is an integer number (5491800).

Almost surely, 2^204156120 is an apocalyptic number.

204156120 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 204156120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351475200).

204156120 is an abundant number, since it is smaller than the sum of its proper divisors (498794280).

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

204156120 is a wasteful number, since it uses less digits than its factorization.

204156120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 204156120 is about 14288.3211050144. The cubic root of 204156120 is about 588.8266636254.

The spelling of 204156120 in words is "two hundred four million, one hundred fifty-six thousand, one hundred twenty".