132524000 has 96 divisors (see below), whose sum is σ = 372206016. Its totient is φ = 45427200.

The previous prime is 132523987. The next prime is 132524017. The reversal of 132524000 is 425231.

It is a super-2 number, since 2×132524000² = 35125221152000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132524000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25634 + ... + 30366.

It is an arithmetic number, because the mean of its divisors is an integer number (3877146).

Almost surely, 2^132524000 is an apocalyptic number.

132524000 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 132524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186103008).

132524000 is an abundant number, since it is smaller than the sum of its proper divisors (239682016).

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

132524000 is an equidigital number, since it uses as much as digits as its factorization.

132524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 132524000 is about 11511.9068794010. The cubic root of 132524000 is about 509.8371901173.

Adding to 132524000 its reverse (425231), we get a palindrome (132949231).

The spelling of 132524000 in words is "one hundred thirty-two million, five hundred twenty-four thousand".