132816024 has 96 divisors (see below), whose sum is σ = 407010240. Its totient is φ = 40240800.

The previous prime is 132816017. The next prime is 132816049. The reversal of 132816024 is 420618231.

It is a super-3 number, since 3×132816024³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18279 + ... + 24489.

It is an arithmetic number, because the mean of its divisors is an integer number (4239690).

Almost surely, 2^132816024 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 132816024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203505120).

132816024 is an abundant number, since it is smaller than the sum of its proper divisors (274194216).

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

132816024 is a wasteful number, since it uses less digits than its factorization.

132816024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6243 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 132816024 is about 11524.5834631886. The cubic root of 132816024 is about 510.2114002496.

The spelling of 132816024 in words is "one hundred thirty-two million, eight hundred sixteen thousand, twenty-four".