204144151320 has 192 divisors, whose sum is σ = 676416705120. Its totient is φ = 53377339392.

The previous prime is 204144151229. The next prime is 204144151339. The reversal of 204144151320 is 23151441402.

204144151320 is a `hidden beast` number, since 2 + 0 + 4 + 144 + 1 + 513 + 2 + 0 = 666.

204144151320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47068192 + ... + 47072528.

Almost surely, 2^204144151320 is an apocalyptic number.

204144151320 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 204144151320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338208352560).

204144151320 is an abundant number, since it is smaller than the sum of its proper divisors (472272553800).

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

204144151320 is a wasteful number, since it uses less digits than its factorization.

204144151320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 204144151320 its reverse (23151441402), we get a palindrome (227295592722).

The spelling of 204144151320 in words is "two hundred four billion, one hundred forty-four million, one hundred fifty-one thousand, three hundred twenty".