205314132200 has 144 divisors (see below), whose sum is σ = 511951920480. Its totient is φ = 76429520640.

The previous prime is 205314132197. The next prime is 205314132209. The reversal of 205314132200 is 2231413502.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (205314132209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6281099 + ... + 6313701.

It is an arithmetic number, because the mean of its divisors is an integer number (3555221670).

Almost surely, 2^205314132200 is an apocalyptic number.

205314132200 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 205314132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255975960240).

205314132200 is an abundant number, since it is smaller than the sum of its proper divisors (306637788280).

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

205314132200 is a wasteful number, since it uses less digits than its factorization.

205314132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32716 (or 32670 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 205314132200 its reverse (2231413502), we get a palindrome (207545545702).

The spelling of 205314132200 in words is "two hundred five billion, three hundred fourteen million, one hundred thirty-two thousand, two hundred".