132647518080 has 2304 divisors, whose sum is σ = 639967910400. Its totient is φ = 25619742720.

The previous prime is 132647518067. The next prime is 132647518141. The reversal of 132647518080 is 80815746231.

132647518080 is a `hidden beast` number, since 1 + 3 + 26 + 475 + 1 + 80 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 2502783334 + ... + 2502783386.

It is an arithmetic number, because the mean of its divisors is an integer number (277763850).

Almost surely, 2^132647518080 is an apocalyptic number.

132647518080 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 132647518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319983955200).

132647518080 is an abundant number, since it is smaller than the sum of its proper divisors (507320392320).

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

132647518080 is a wasteful number, since it uses less digits than its factorization.

132647518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 132647518080 in words is "one hundred thirty-two billion, six hundred forty-seven million, five hundred eighteen thousand, eighty".