132200400 has 120 divisors (see below), whose sum is σ = 433972224. Its totient is φ = 34380800.

The previous prime is 132200377. The next prime is 132200401. The reversal of 132200400 is 4002231.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132200401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47857 + ... + 50543.

Almost surely, 2^132200400 is an apocalyptic number.

132200400 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 132200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216986112).

132200400 is an abundant number, since it is smaller than the sum of its proper divisors (301771824).

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

132200400 is a wasteful number, since it uses less digits than its factorization.

132200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 132200400 is about 11497.8432760236. The cubic root of 132200400 is about 509.4218746931.

Adding to 132200400 its reverse (4002231), we get a palindrome (136202631).

The spelling of 132200400 in words is "one hundred thirty-two million, two hundred thousand, four hundred".