132384378240 has 768 divisors, whose sum is σ = 496215720000. Its totient is φ = 33684553728.

The previous prime is 132384378223. The next prime is 132384378241. The reversal of 132384378240 is 42873483231.

132384378240 is a `hidden beast` number, since 1 + 3 + 2 + 38 + 4 + 378 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132384378241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 672001822 + ... + 672002018.

Almost surely, 2^132384378240 is an apocalyptic number.

132384378240 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 132384378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248107860000).

132384378240 is an abundant number, since it is smaller than the sum of its proper divisors (363831341760).

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

132384378240 is a wasteful number, since it uses less digits than its factorization.

132384378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 132384378240 in words is "one hundred thirty-two billion, three hundred eighty-four million, three hundred seventy-eight thousand, two hundred forty".