132774768 has 240 divisors, whose sum is σ = 460803840. Its totient is φ = 35849088.

The previous prime is 132774713. The next prime is 132774773. The reversal of 132774768 is 867477231.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599655 + ... + 1599737.

It is an arithmetic number, because the mean of its divisors is an integer number (1920016).

Almost surely, 2^132774768 is an apocalyptic number.

132774768 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 132774768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230401920).

132774768 is an abundant number, since it is smaller than the sum of its proper divisors (328029072).

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

132774768 is a wasteful number, since it uses less digits than its factorization.

132774768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 118 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 132774768 is about 11522.7934113218. The cubic root of 132774768 is about 510.1585666111.

The spelling of 132774768 in words is "one hundred thirty-two million, seven hundred seventy-four thousand, seven hundred sixty-eight".