132120409369728 has 256 divisors, whose sum is σ = 380830468112640. Its totient is φ = 40341794979840.

The previous prime is 132120409369721. The next prime is 132120409369777. The reversal of 132120409369728 is 827963904021231.

It is not an unprimeable number, because it can be changed into a prime (132120409369721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2079720301 + ... + 2079783827.

It is an arithmetic number, because the mean of its divisors is an integer number (1487619016065).

Almost surely, 2^{132120409369728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132120409369728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190415234056320).

132120409369728 is an abundant number, since it is smaller than the sum of its proper divisors (248710058742912).

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

132120409369728 is a wasteful number, since it uses less digits than its factorization.

132120409369728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66735 (or 66723 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 132120409369728 in words is "one hundred thirty-two trillion, one hundred twenty billion, four hundred nine million, three hundred sixty-nine thousand, seven hundred twenty-eight".