132421985760 has 192 divisors, whose sum is σ = 432198789120. Its totient is φ = 34045347840.

The previous prime is 132421985753. The next prime is 132421985821. The reversal of 132421985760 is 67589124231.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 3986179 + ... + 4019261.

It is an arithmetic number, because the mean of its divisors is an integer number (2251035360).

It is a 2-persistent number, because it is pandigital, and so is 2⋅132421985760 = 264843971520, but 3⋅132421985760 = 397265957280 is not.

Almost surely, 2^132421985760 is an apocalyptic number.

132421985760 is a gapful number since it is divisible by the number (10) 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 132421985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216099394560).

132421985760 is an abundant number, since it is smaller than the sum of its proper divisors (299776803360).

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

132421985760 is a wasteful number, since it uses less digits than its factorization.

132421985760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33401 (or 33393 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 132421985760 in words is "one hundred thirty-two billion, four hundred twenty-one million, nine hundred eighty-five thousand, seven hundred sixty".