132430400 has 84 divisors (see below), whose sum is σ = 334818228. Its totient is φ = 51517440.

The previous prime is 132430387. The next prime is 132430409. The reversal of 132430400 is 4034231.

It can be written as a sum of positive squares in 6 ways, for example, as 7706176 + 124724224 = 2776^2 + 11168^2 .

It is not an unprimeable number, because it can be changed into a prime (132430409) by changing a digit.

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, 58082 + ... + 60318.

Almost surely, 2^132430400 is an apocalyptic number.

132430400 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 132430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167409114).

132430400 is an abundant number, since it is smaller than the sum of its proper divisors (202387828).

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

132430400 is a wasteful number, since it uses less digits than its factorization.

132430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2281 counting only the distinct ones).

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

The square root of 132430400 is about 11507.8408052944. The cubic root of 132430400 is about 509.7171313600.

Adding to 132430400 its reverse (4034231), we get a palindrome (136464631).

The spelling of 132430400 in words is "one hundred thirty-two million, four hundred thirty thousand, four hundred".