132637968 has 60 divisors (see below), whose sum is σ = 372289788. Its totient is φ = 44083200.

The previous prime is 132637963. The next prime is 132637979. The reversal of 132637968 is 869736231.

132637968 is a `hidden beast` number, since 1 + 3 + 2 + 637 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106750224 + 25887744 = 10332^2 + 5088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132637963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56596 + ... + 58892.

Almost surely, 2^132637968 is an apocalyptic number.

132637968 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 132637968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186144894).

132637968 is an abundant number, since it is smaller than the sum of its proper divisors (239651820).

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

132637968 is a wasteful number, since it uses less digits than its factorization.

132637968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2703 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 132637968 is about 11516.8558209261. The cubic root of 132637968 is about 509.9832981843.

The spelling of 132637968 in words is "one hundred thirty-two million, six hundred thirty-seven thousand, nine hundred sixty-eight".