132568380 has 192 divisors, whose sum is σ = 499322880. Its totient is φ = 28505088.

The previous prime is 132568361. The next prime is 132568391. The reversal of 132568380 is 83865231.

132568380 = 56² + 57² + ... + 735².

132568380 is a `hidden beast` number, since 13 + 2 + 568 + 3 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 63229 + ... + 65291.

It is an arithmetic number, because the mean of its divisors is an integer number (2600640).

Almost surely, 2^132568380 is an apocalyptic number.

132568380 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 132568380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249661440).

132568380 is an abundant number, since it is smaller than the sum of its proper divisors (366754500).

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

132568380 is a wasteful number, since it uses less digits than its factorization.

132568380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 132568380 is about 11513.8342874995. The cubic root of 132568380 is about 509.8940956570.

The spelling of 132568380 in words is "one hundred thirty-two million, five hundred sixty-eight thousand, three hundred eighty".