132410824 has 96 divisors (see below), whose sum is σ = 325710720. Its totient is φ = 49241088.

The previous prime is 132410821. The next prime is 132410849. The reversal of 132410824 is 428014231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132410821) 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, 160477 + ... + 161299.

It is an arithmetic number, because the mean of its divisors is an integer number (3392820).

Almost surely, 2^132410824 is an apocalyptic number.

132410824 is a gapful number since it is divisible by the number (14) 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 132410824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162855360).

132410824 is an abundant number, since it is smaller than the sum of its proper divisors (193299896).

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

132410824 is a wasteful number, since it uses less digits than its factorization.

132410824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 132410824 is about 11506.9902233382. The cubic root of 132410824 is about 509.6920144828.

The spelling of 132410824 in words is "one hundred thirty-two million, four hundred ten thousand, eight hundred twenty-four".