132019305264 has 720 divisors, whose sum is σ = 485853189120. Its totient is φ = 33072399360.

The previous prime is 132019305191. The next prime is 132019305289. The reversal of 132019305264 is 462503910231.

132019305264 is a `hidden beast` number, since 1 + 320 + 1 + 9 + 305 + 26 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 275614177 + ... + 275614655.

It is an arithmetic number, because the mean of its divisors is an integer number (674796096).

Almost surely, 2^132019305264 is an apocalyptic number.

132019305264 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 132019305264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242926594560).

132019305264 is an abundant number, since it is smaller than the sum of its proper divisors (353833883856).

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

132019305264 is a wasteful number, since it uses less digits than its factorization.

132019305264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 132019305264 in words is "one hundred thirty-two billion, nineteen million, three hundred five thousand, two hundred sixty-four".