132428800 has 132 divisors (see below), whose sum is σ = 375665440. Its totient is φ = 45342720.

The previous prime is 132428767. The next prime is 132428833. The reversal of 132428800 is 8824231.

It is an interprime number because it is at equal distance from previous prime (132428767) and next prime (132428833).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178831 + ... + 179569.

Almost surely, 2^132428800 is an apocalyptic number.

132428800 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 132428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187832720).

132428800 is an abundant number, since it is smaller than the sum of its proper divisors (243236640).

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

132428800 is an equidigital number, since it uses as much as digits as its factorization.

132428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 132428800 is about 11507.7712872650. The cubic root of 132428800 is about 509.7150785818.

The spelling of 132428800 in words is "one hundred thirty-two million, four hundred twenty-eight thousand, eight hundred".