132385434480 has 400 divisors, whose sum is σ = 498820823424. Its totient is φ = 32346501120.

The previous prime is 132385434479. The next prime is 132385434481. The reversal of 132385434480 is 84434583231.

132385434480 is a `hidden beast` number, since 1 + 3 + 23 + 8 + 543 + 4 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (132385434479) and next prime (132385434481).

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 (132385434481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11535145 + ... + 11546615.

Almost surely, 2^132385434480 is an apocalyptic number.

132385434480 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 132385434480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249410411712).

132385434480 is an abundant number, since it is smaller than the sum of its proper divisors (366435388944).

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

132385434480 is a wasteful number, since it uses less digits than its factorization.

132385434480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11646 (or 11631 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 132385434480 in words is "one hundred thirty-two billion, three hundred eighty-five million, four hundred thirty-four thousand, four hundred eighty".