132182336 has 126 divisors (see below), whose sum is σ = 315287406. Its totient is φ = 54912000.

The previous prime is 132182321. The next prime is 132182339. The reversal of 132182336 is 633281231.

It can be written as a sum of positive squares in 3 ways, for example, as 11182336 + 121000000 = 3344^2 + 11000^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132182299 and 132182308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132182339) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1308686 + ... + 1308786.

It is an arithmetic number, because the mean of its divisors is an integer number (2502281).

Almost surely, 2^132182336 is an apocalyptic number.

132182336 is a gapful number since it is divisible by the number (16) 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 132182336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157643703).

132182336 is an abundant number, since it is smaller than the sum of its proper divisors (183105070).

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

132182336 is a wasteful number, since it uses less digits than its factorization.

132182336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 127 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 132182336 is about 11497.0577105623. The cubic root of 132182336 is about 509.3986709915.

The spelling of 132182336 in words is "one hundred thirty-two million, one hundred eighty-two thousand, three hundred thirty-six".