132816000 has 128 divisors (see below), whose sum is σ = 440444160. Its totient is φ = 35404800.

The previous prime is 132815993. The next prime is 132816001. The reversal of 132816000 is 618231.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (132816001) 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 15 ways as a sum of consecutive naturals, for example, 46617 + ... + 49383.

It is an arithmetic number, because the mean of its divisors is an integer number (3440970).

Almost surely, 2^132816000 is an apocalyptic number.

132816000 is a gapful number since it is divisible by the number (10) 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 132816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220222080).

132816000 is an abundant number, since it is smaller than the sum of its proper divisors (307628160).

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

132816000 is an equidigital number, since it uses as much as digits as its factorization.

132816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 132816000 is about 11524.5824219362. The cubic root of 132816000 is about 510.2113695177.

The spelling of 132816000 in words is "one hundred thirty-two million, eight hundred sixteen thousand".