132108768 has 216 divisors, whose sum is σ = 439193664. Its totient is φ = 37509120.

The previous prime is 132108721. The next prime is 132108773. The reversal of 132108768 is 867801231.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 592305 + ... + 592527.

It is an arithmetic number, because the mean of its divisors is an integer number (2033304).

Almost surely, 2^132108768 is an apocalyptic number.

132108768 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 132108768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219596832).

132108768 is an abundant number, since it is smaller than the sum of its proper divisors (307084896).

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

132108768 is a wasteful number, since it uses less digits than its factorization.

132108768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 132108768 is about 11493.8578379933. The cubic root of 132108768 is about 509.3041490425.

Adding to 132108768 its reverse (867801231), we get a palindrome (999909999).

It can be divided in two parts, 132 and 108768, that added together give a square (108900 = 330²).

The spelling of 132108768 in words is "one hundred thirty-two million, one hundred eight thousand, seven hundred sixty-eight".