132578514432 has 1080 divisors, whose sum is σ = 505839061728. Its totient is φ = 33117880320.

The previous prime is 132578514403. The next prime is 132578514437. The reversal of 132578514432 is 234415875231.

132578514432 is a `hidden beast` number, since 1 + 3 + 2 + 578 + 5 + 1 + 44 + 32 = 666.

Its product of digits (806400) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132578514437) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2820819433 + ... + 2820819479.

Almost surely, 2^132578514432 is an apocalyptic number.

132578514432 is a gapful number since it is divisible by the number (12) 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 132578514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252919530864).

132578514432 is an abundant number, since it is smaller than the sum of its proper divisors (373260547296).

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

132578514432 is a wasteful number, since it uses less digits than its factorization.

132578514432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 103 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 132578514432 in words is "one hundred thirty-two billion, five hundred seventy-eight million, five hundred fourteen thousand, four hundred thirty-two".