132124824 has 128 divisors (see below), whose sum is σ = 398899200. Its totient is φ = 40279680.

The previous prime is 132124801. The next prime is 132124829. The reversal of 132124824 is 428421231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132124829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592377 + ... + 592599.

It is an arithmetic number, because the mean of its divisors is an integer number (3116400).

Almost surely, 2^132124824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132124824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199449600).

132124824 is an abundant number, since it is smaller than the sum of its proper divisors (266774376).

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

132124824 is a wasteful number, since it uses less digits than its factorization.

132124824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 452 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 132124824 is about 11494.5562767773. The cubic root of 132124824 is about 509.3247811733.

The spelling of 132124824 in words is "one hundred thirty-two million, one hundred twenty-four thousand, eight hundred twenty-four".