132349824 has 96 divisors (see below), whose sum is σ = 384195240. Its totient is φ = 43729920.

The previous prime is 132349817. The next prime is 132349837. The reversal of 132349824 is 428943231.

It is a tau number, because it is divible by the number of its divisors (96).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150474 + ... + 151350.

Almost surely, 2^132349824 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 132349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192097620).

132349824 is an abundant number, since it is smaller than the sum of its proper divisors (251845416).

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

132349824 is a wasteful number, since it uses less digits than its factorization.

132349824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1013 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 132349824 is about 11504.3393552172. The cubic root of 132349824 is about 509.6137328952.

The spelling of 132349824 in words is "one hundred thirty-two million, three hundred forty-nine thousand, eight hundred twenty-four".