132652720 has 80 divisors (see below), whose sum is σ = 322479360. Its totient is φ = 50688000.

The previous prime is 132652711. The next prime is 132652727. The reversal of 132652720 is 27256231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×132652720³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132652727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220420 + ... + 221020.

It is an arithmetic number, because the mean of its divisors is an integer number (4030992).

Almost surely, 2^132652720 is an apocalyptic number.

132652720 is a gapful number since it is divisible by the number (10) 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 132652720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161239680).

132652720 is an abundant number, since it is smaller than the sum of its proper divisors (189826640).

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

132652720 is a wasteful number, since it uses less digits than its factorization.

132652720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 132652720 is about 11517.4962556972. The cubic root of 132652720 is about 510.0022042709.

The spelling of 132652720 in words is "one hundred thirty-two million, six hundred fifty-two thousand, seven hundred twenty".