202132840200 has 192 divisors, whose sum is σ = 647802347520. Its totient is φ = 52084512000.

The previous prime is 202132840187. The next prime is 202132840201. The reversal of 202132840200 is 2048231202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (202132840201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12844737 + ... + 12860463.

It is an arithmetic number, because the mean of its divisors is an integer number (3373970560).

Almost surely, 2^202132840200 is an apocalyptic number.

202132840200 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 202132840200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323901173760).

202132840200 is an abundant number, since it is smaller than the sum of its proper divisors (445669507320).

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

202132840200 is a wasteful number, since it uses less digits than its factorization.

202132840200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16468 (or 16459 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 202132840200 in words is "two hundred two billion, one hundred thirty-two million, eight hundred forty thousand, two hundred".