132761712 has 80 divisors (see below), whose sum is σ = 351088640. Its totient is φ = 43220736.

The previous prime is 132761711. The next prime is 132761723. The reversal of 132761712 is 217167231.

132761712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132761712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132761711) 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, 595233 + ... + 595455.

It is an arithmetic number, because the mean of its divisors is an integer number (4388608).

Almost surely, 2^132761712 is an apocalyptic number.

132761712 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 132761712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175544320).

132761712 is an abundant number, since it is smaller than the sum of its proper divisors (218326928).

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

132761712 is a wasteful number, since it uses less digits than its factorization.

132761712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 132761712 is about 11522.2268681015. The cubic root of 132761712 is about 510.1418444365.

The spelling of 132761712 in words is "one hundred thirty-two million, seven hundred sixty-one thousand, seven hundred twelve".