132768416 has 24 divisors (see below), whose sum is σ = 285151104. Its totient is φ = 60349120.

The previous prime is 132768379. The next prime is 132768421. The reversal of 132768416 is 614867231.

It is a self number, because there is not a number n which added to its sum of digits gives 132768416.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188240 + ... + 188943.

It is an arithmetic number, because the mean of its divisors is an integer number (11881296).

Almost surely, 2^132768416 is an apocalyptic number.

132768416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132768416 is an abundant number, since it is smaller than the sum of its proper divisors (152382688).

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

132768416 is a wasteful number, since it uses less digits than its factorization.

132768416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377204 (or 377196 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 132768416 is about 11522.5177804159. The cubic root of 132768416 is about 510.1504310822.

The spelling of 132768416 in words is "one hundred thirty-two million, seven hundred sixty-eight thousand, four hundred sixteen".