132434362368 has 684 divisors, whose sum is σ = 495312803232. Its totient is φ = 34398535680.

The previous prime is 132434362351. The next prime is 132434362409. The reversal of 132434362368 is 863263434231.

132434362368 is a `hidden beast` number, since 1 + 3 + 243 + 43 + 6 + 2 + 368 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12039487483 + ... + 12039487493.

Almost surely, 2^132434362368 is an apocalyptic number.

132434362368 is a gapful number since it is divisible by the number (18) 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 132434362368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247656401616).

132434362368 is an abundant number, since it is smaller than the sum of its proper divisors (362878440864).

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

132434362368 is an frugal number, since it uses more digits than its factorization.

132434362368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 23 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

Adding to 132434362368 its reverse (863263434231), we get a palindrome (995697796599).

The spelling of 132434362368 in words is "one hundred thirty-two billion, four hundred thirty-four million, three hundred sixty-two thousand, three hundred sixty-eight".