132744960 has 288 divisors, whose sum is σ = 494484480. Its totient is φ = 33656832.

The previous prime is 132744943. The next prime is 132744961. The reversal of 132744960 is 69447231.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132744961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794797 + ... + 794963.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2^132744960 is an apocalyptic number.

132744960 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 132744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240).

132744960 is an abundant number, since it is smaller than the sum of its proper divisors (361739520).

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

132744960 is a wasteful number, since it uses less digits than its factorization.

132744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 132744960 is about 11521.4999023565. The cubic root of 132744960 is about 510.1203868051.

The spelling of 132744960 in words is "one hundred thirty-two million, seven hundred forty-four thousand, nine hundred sixty".