132855768 has 64 divisors (see below), whose sum is σ = 374284800. Its totient is φ = 43656480.

The previous prime is 132855763. The next prime is 132855803. The reversal of 132855768 is 867558231.

132855768 is a `hidden beast` number, since 1 + 32 + 8 + 557 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132855761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11005 + ... + 19667.

It is an arithmetic number, because the mean of its divisors is an integer number (5848200).

Almost surely, 2^132855768 is an apocalyptic number.

132855768 is a gapful number since it is divisible by the number (18) 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 132855768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187142400).

132855768 is an abundant number, since it is smaller than the sum of its proper divisors (241429032).

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

132855768 is a wasteful number, since it uses less digits than its factorization.

132855768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8749 (or 8739 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 132855768 is about 11526.3076481586. The cubic root of 132855768 is about 510.2622872308.

The spelling of 132855768 in words is "one hundred thirty-two million, eight hundred fifty-five thousand, seven hundred sixty-eight".