132024300 has 72 divisors (see below), whose sum is σ = 388516800. Its totient is φ = 34605120.

The previous prime is 132024259. The next prime is 132024307. The reversal of 132024300 is 3420231.

132024300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 132024300.

It is not an unprimeable number, because it can be changed into a prime (132024307) 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, 13971 + ... + 21429.

Almost surely, 2^132024300 is an apocalyptic number.

132024300 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 132024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194258400).

132024300 is an abundant number, since it is smaller than the sum of its proper divisors (256492500).

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

132024300 is a wasteful number, since it uses less digits than its factorization.

132024300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 132024300 is about 11490.1827661704. The cubic root of 132024300 is about 509.1955792241.

Adding to 132024300 its reverse (3420231), we get a palindrome (135444531).

The spelling of 132024300 in words is "one hundred thirty-two million, twenty-four thousand, three hundred".