132718824 has 112 divisors (see below), whose sum is σ = 426532320. Its totient is φ = 37908000.

The previous prime is 132718823. The next prime is 132718849. The reversal of 132718824 is 428817231.

It is a super-2 number, since 2×132718824² = 35228572487885952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (132718823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 39199 + ... + 42449.

Almost surely, 2^132718824 is an apocalyptic number.

132718824 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 132718824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213266160).

132718824 is an abundant number, since it is smaller than the sum of its proper divisors (293813496).

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

132718824 is an equidigital number, since it uses as much as digits as its factorization.

132718824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3263 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 132718824 is about 11520.3656191980. The cubic root of 132718824 is about 510.0869056054.

The spelling of 132718824 in words is "one hundred thirty-two million, seven hundred eighteen thousand, eight hundred twenty-four".