132304400 has 60 divisors (see below), whose sum is σ = 319101972. Its totient is φ = 52715520.

The previous prime is 132304379. The next prime is 132304433. The reversal of 132304400 is 4403231.

It can be written as a sum of positive squares in 6 ways, for example, as 26708224 + 105596176 = 5168^2 + 10276^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140732 + ... + 141668.

Almost surely, 2^132304400 is an apocalyptic number.

132304400 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 132304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159550986).

132304400 is an abundant number, since it is smaller than the sum of its proper divisors (186797572).

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

132304400 is a wasteful number, since it uses less digits than its factorization.

132304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 132304400 is about 11502.3649742129. The cubic root of 132304400 is about 509.5554244359. Note that the first 3 decimals are identical.

Adding to 132304400 its reverse (4403231), we get a palindrome (136707631).

The spelling of 132304400 in words is "one hundred thirty-two million, three hundred four thousand, four hundred".