132800200 has 72 divisors (see below), whose sum is σ = 334423350. Its totient is φ = 49021440.

The previous prime is 132800197. The next prime is 132800201. The reversal of 132800200 is 2008231.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 14730244 + 118069956 = 3838^2 + 10866^2 .

It is not an unprimeable number, because it can be changed into a prime (132800201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31836 + ... + 35764.

Almost surely, 2^132800200 is an apocalyptic number.

132800200 is a gapful number since it is divisible by the number (10) 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 132800200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167211675).

132800200 is an abundant number, since it is smaller than the sum of its proper divisors (201623150).

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

132800200 is a wasteful number, since it uses less digits than its factorization.

132800200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 132800200 is about 11523.8969103338. The cubic root of 132800200 is about 510.1911368667.

Adding to 132800200 its reverse (2008231), we get a palindrome (134808431).

The spelling of 132800200 in words is "one hundred thirty-two million, eight hundred thousand, two hundred".