132461568 has 110 divisors (see below), whose sum is σ = 395803826. Its totient is φ = 44126208.

The previous prime is 132461503. The next prime is 132461573. The reversal of 132461568 is 865164231.

It is a happy number.

132461568 is a `hidden beast` number, since 1 + 32 + 4 + 61 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95883264 + 36578304 = 9792^2 + 6048^2 .

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 (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82146 + ... + 83742.

Almost surely, 2^132461568 is an apocalyptic number.

132461568 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 132461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197901913).

132461568 is an abundant number, since it is smaller than the sum of its proper divisors (263342258).

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

132461568 is an equidigital number, since it uses as much as digits as its factorization.

132461568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1602 counting only the distinct ones).

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

The square root of 132461568 is about 11509.1949327483. The cubic root of 132461568 is about 509.7571161806.

The spelling of 132461568 in words is "one hundred thirty-two million, four hundred sixty-one thousand, five hundred sixty-eight".