204132314000 has 320 divisors, whose sum is σ = 544627998720. Its totient is φ = 73656000000.

The previous prime is 204132313999. The next prime is 204132314003. The reversal of 204132314000 is 413231402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (204132314003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271813625 + ... + 271814375.

It is an arithmetic number, because the mean of its divisors is an integer number (1701962496).

Almost surely, 2^204132314000 is an apocalyptic number.

204132314000 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 204132314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272313999360).

204132314000 is an abundant number, since it is smaller than the sum of its proper divisors (340495684720).

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

204132314000 is a wasteful number, since it uses less digits than its factorization.

204132314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 204132314000 its reverse (413231402), we get a palindrome (204545545402).

The spelling of 204132314000 in words is "two hundred four billion, one hundred thirty-two million, three hundred fourteen thousand".