132559991424 has 768 divisors, whose sum is σ = 478184878080. Its totient is φ = 35736256512.

The previous prime is 132559991411. The next prime is 132559991429. The reversal of 132559991424 is 424199955231.

132559991424 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 599 + 9 + 1 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (132559991429) 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, 515797504 + ... + 515797760.

It is an arithmetic number, because the mean of its divisors is an integer number (622636560).

Almost surely, 2^132559991424 is an apocalyptic number.

132559991424 is a gapful number since it is divisible by the number (14) 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 132559991424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239092439040).

132559991424 is an abundant number, since it is smaller than the sum of its proper divisors (345624886656).

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

132559991424 is a wasteful number, since it uses less digits than its factorization.

132559991424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 395 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 132559991424 in words is "one hundred thirty-two billion, five hundred fifty-nine million, nine hundred ninety-one thousand, four hundred twenty-four".