132864000 has 192 divisors, whose sum is σ = 444618720. Its totient is φ = 35225600.

The previous prime is 132863989. The next prime is 132864007. The reversal of 132864000 is 468231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132864007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767914 + ... + 768086.

Almost surely, 2^132864000 is an apocalyptic number.

132864000 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 132864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222309360).

132864000 is an abundant number, since it is smaller than the sum of its proper divisors (311754720).

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

132864000 is an equidigital number, since it uses as much as digits as its factorization.

132864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 132864000 is about 11526.6647387698. The cubic root of 132864000 is about 510.2728259588.

The spelling of 132864000 in words is "one hundred thirty-two million, eight hundred sixty-four thousand".