132401440430224 has 160 divisors (see below), whose sum is σ = 297681909566976. Its totient is φ = 55873184747520.

The previous prime is 132401440430173. The next prime is 132401440430249. The reversal of 132401440430224 is 422034044104231.

It is a self number, because there is not a number n which added to its sum of digits gives 132401440430224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28553252034 + ... + 28553256670.

Almost surely, 2^{132401440430224} is an apocalyptic number.

132401440430224 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 132401440430224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148840954783488).

132401440430224 is an abundant number, since it is smaller than the sum of its proper divisors (165280469136752).

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

132401440430224 is a wasteful number, since it uses less digits than its factorization.

132401440430224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8513 (or 8507 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 132401440430224 its reverse (422034044104231), we get a palindrome (554435484534455).

The spelling of 132401440430224 in words is "one hundred thirty-two trillion, four hundred one billion, four hundred forty million, four hundred thirty thousand, two hundred twenty-four".