132780288 has 72 divisors (see below), whose sum is σ = 368803008. Its totient is φ = 42330112.

The previous prime is 132780281. The next prime is 132780301. The reversal of 132780288 is 882087231.

132780288 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 (132780281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13906 + ... + 21422.

It is an arithmetic number, because the mean of its divisors is an integer number (5122264).

Almost surely, 2^132780288 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 132780288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184401504).

132780288 is an abundant number, since it is smaller than the sum of its proper divisors (236022720).

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

132780288 is an equidigital number, since it uses as much as digits as its factorization.

132780288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7559 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 132780288 is about 11523.0329340847. The cubic root of 132780288 is about 510.1656363185.

The spelling of 132780288 in words is "one hundred thirty-two million, seven hundred eighty thousand, two hundred eighty-eight".