132755760 has 120 divisors (see below), whose sum is σ = 462418320. Its totient is φ = 35396352.

The previous prime is 132755719. The next prime is 132755783. The reversal of 132755760 is 67557231.

132755760 is a `hidden beast` number, since 13 + 2 + 75 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16026 + ... + 22854.

It is an arithmetic number, because the mean of its divisors is an integer number (3853486).

Almost surely, 2^132755760 is an apocalyptic number.

132755760 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 132755760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231209160).

132755760 is an abundant number, since it is smaller than the sum of its proper divisors (329662560).

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

132755760 is an equidigital number, since it uses as much as digits as its factorization.

132755760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6857 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 132755760 is about 11521.9685818006. The cubic root of 132755760 is about 510.1342207283.

The spelling of 132755760 in words is "one hundred thirty-two million, seven hundred fifty-five thousand, seven hundred sixty".