132221268432 has 320 divisors, whose sum is σ = 443221632000. Its totient is φ = 37313395200.

The previous prime is 132221268427. The next prime is 132221268461. The reversal of 132221268432 is 234862122231.

132221268432 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 212 + 6 + 8 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5314582 + ... + 5339402.

It is an arithmetic number, because the mean of its divisors is an integer number (1385067600).

Almost surely, 2^132221268432 is an apocalyptic number.

132221268432 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 132221268432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221610816000).

132221268432 is an abundant number, since it is smaller than the sum of its proper divisors (311000363568).

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

132221268432 is a wasteful number, since it uses less digits than its factorization.

132221268432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24927 (or 24915 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 132221268432 in words is "one hundred thirty-two billion, two hundred twenty-one million, two hundred sixty-eight thousand, four hundred thirty-two".