132784000 has 128 divisors (see below), whose sum is σ = 339562080. Its totient is φ = 51609600.

The previous prime is 132783997. The next prime is 132784013. The reversal of 132784000 is 487231.

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687904 + ... + 688096.

Almost surely, 2^132784000 is an apocalyptic number.

132784000 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 132784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169781040).

132784000 is an abundant number, since it is smaller than the sum of its proper divisors (206778080).

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

132784000 is an equidigital number, since it uses as much as digits as its factorization.

132784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 132784000 is about 11523.1940016646. The cubic root of 132784000 is about 510.1703903303.

The spelling of 132784000 in words is "one hundred thirty-two million, seven hundred eighty-four thousand".