132539647968 has 432 divisors, whose sum is σ = 472915890720. Its totient is φ = 34476668928.

The previous prime is 132539647921. The next prime is 132539647969. The reversal of 132539647968 is 869746935231.

132539647968 is a `hidden beast` number, since 1 + 3 + 2 + 539 + 6 + 4 + 7 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132539647969) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1815611580 + ... + 1815611652.

It is an arithmetic number, because the mean of its divisors is an integer number (1094712710).

Almost surely, 2^132539647968 is an apocalyptic number.

132539647968 is a gapful number since it is divisible by the number (18) 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 132539647968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236457945360).

132539647968 is an abundant number, since it is smaller than the sum of its proper divisors (340376242752).

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

132539647968 is an frugal number, since it uses more digits than its factorization.

132539647968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 98 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 132539647968 in words is "one hundred thirty-two billion, five hundred thirty-nine million, six hundred forty-seven thousand, nine hundred sixty-eight".