132016200 has 96 divisors (see below), whose sum is σ = 416074560. Its totient is φ = 34617600.

The previous prime is 132016177. The next prime is 132016243. The reversal of 132016200 is 2610231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132016200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34797 + ... + 38403.

It is an arithmetic number, because the mean of its divisors is an integer number (4334110).

Almost surely, 2^132016200 is an apocalyptic number.

132016200 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 132016200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208037280).

132016200 is an abundant number, since it is smaller than the sum of its proper divisors (284058360).

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

132016200 is a wasteful number, since it uses less digits than its factorization.

132016200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 132016200 is about 11489.8302859529. The cubic root of 132016200 is about 509.1851655640.

Adding to 132016200 its reverse (2610231), we get a palindrome (134626431).

The spelling of 132016200 in words is "one hundred thirty-two million, sixteen thousand, two hundred".