132424000 has 56 divisors (see below), whose sum is σ = 327967848. Its totient is φ = 52966400.

The previous prime is 132423989. The next prime is 132424007. The reversal of 132424000 is 424231.

It can be written as a sum of positive squares in 4 ways, for example, as 817216 + 131606784 = 904^2 + 11472^2 .

It is a super-2 number, since 2×132424000² = 35072231552000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132424007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 277 + ... + 16276.

Almost surely, 2^132424000 is an apocalyptic number.

132424000 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 132424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163983924).

132424000 is an abundant number, since it is smaller than the sum of its proper divisors (195543848).

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

132424000 is an equidigital number, since it uses as much as digits as its factorization.

132424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16580 (or 16560 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 132424000 is about 11507.5627306567. The cubic root of 132424000 is about 509.7089201482.

Adding to 132424000 its reverse (424231), we get a palindrome (132848231).

The spelling of 132424000 in words is "one hundred thirty-two million, four hundred twenty-four thousand".