132181632 has 320 divisors, whose sum is σ = 459122400. Its totient is φ = 37324800.

The previous prime is 132181631. The next prime is 132181639. The reversal of 132181632 is 236181231.

It is a happy number.

132181632 is a `hidden beast` number, since 1 + 3 + 21 + 8 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (1728) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 132181596 and 132181605.

It is not an unprimeable number, because it can be changed into a prime (132181631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2166882 + ... + 2166942.

Almost surely, 2^132181632 is an apocalyptic number.

132181632 is a gapful number since it is divisible by the number (12) 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 132181632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229561200).

132181632 is an abundant number, since it is smaller than the sum of its proper divisors (326940768).

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

132181632 is a wasteful number, since it uses less digits than its factorization.

132181632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 132181632 is about 11497.0270939926. The cubic root of 132181632 is about 509.3977666415.

The spelling of 132181632 in words is "one hundred thirty-two million, one hundred eighty-one thousand, six hundred thirty-two".