132768960 has 224 divisors, whose sum is σ = 460857600. Its totient is φ = 32256000.

The previous prime is 132768953. The next prime is 132768971. The reversal of 132768960 is 69867231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528835 + ... + 529085.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 2^132768960 is an apocalyptic number.

132768960 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 132768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230428800).

132768960 is an abundant number, since it is smaller than the sum of its proper divisors (328088640).

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

132768960 is a wasteful number, since it uses less digits than its factorization.

132768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 132768960 is about 11522.5413863436. The cubic root of 132768960 is about 510.1511278379.

The spelling of 132768960 in words is "one hundred thirty-two million, seven hundred sixty-eight thousand, nine hundred sixty".