132666336 has 252 divisors, whose sum is σ = 439595856. Its totient is φ = 39346560.

The previous prime is 132666319. The next prime is 132666361. The reversal of 132666336 is 633666231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132666336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2822665 + ... + 2822711.

It is an arithmetic number, because the mean of its divisors is an integer number (1744428).

Almost surely, 2^132666336 is an apocalyptic number.

132666336 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 132666336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219797928).

132666336 is an abundant number, since it is smaller than the sum of its proper divisors (306929520).

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

132666336 is an equidigital number, since it uses as much as digits as its factorization.

132666336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 63 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 132666336 is about 11518.0873412212. The cubic root of 132666336 is about 510.0196532219.

The spelling of 132666336 in words is "one hundred thirty-two million, six hundred sixty-six thousand, three hundred thirty-six".