132725824 has 112 divisors (see below), whose sum is σ = 342936576. Its totient is φ = 49420800.

The previous prime is 132725819. The next prime is 132725839. The reversal of 132725824 is 428527231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×132725824² = 35232288712957952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132725824.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 112759 + ... + 113929.

Almost surely, 2^132725824 is an apocalyptic number.

132725824 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 132725824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171468288).

132725824 is an abundant number, since it is smaller than the sum of its proper divisors (210210752).

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

132725824 is a wasteful number, since it uses less digits than its factorization.

132725824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1214 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 132725824 is about 11520.6694249944. The cubic root of 132725824 is about 510.0958732998.

The spelling of 132725824 in words is "one hundred thirty-two million, seven hundred twenty-five thousand, eight hundred twenty-four".