132760752 has 80 divisors (see below), whose sum is σ = 382296960. Its totient is φ = 39453696.

The previous prime is 132760739. The next prime is 132760757. The reversal of 132760752 is 257067231.

132760752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132760757) 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, 11223 + ... + 19785.

It is an arithmetic number, because the mean of its divisors is an integer number (4778712).

Almost surely, 2^132760752 is an apocalyptic number.

132760752 is a gapful number since it is divisible by the number (12) 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 132760752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191148480).

132760752 is an abundant number, since it is smaller than the sum of its proper divisors (249536208).

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

132760752 is a wasteful number, since it uses less digits than its factorization.

132760752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8610 (or 8604 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 132760752 is about 11522.1852094123. The cubic root of 132760752 is about 510.1406148215.

The spelling of 132760752 in words is "one hundred thirty-two million, seven hundred sixty thousand, seven hundred fifty-two".