132065076864 has 128 divisors (see below), whose sum is σ = 401027345280. Its totient is φ = 37722009600.

The previous prime is 132065076853. The next prime is 132065076877. The reversal of 132065076864 is 468670560231.

It is a tau number, because it is divible by the number of its divisors (128).

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

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

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 15 ways as a sum of consecutive naturals, for example, 16395462 + ... + 16403514.

It is an arithmetic number, because the mean of its divisors is an integer number (3133026135).

Almost surely, 2^132065076864 is an apocalyptic number.

132065076864 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 132065076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200513672640).

132065076864 is an abundant number, since it is smaller than the sum of its proper divisors (268962268416).

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

132065076864 is an equidigital number, since it uses as much as digits as its factorization.

132065076864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14178 (or 14166 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 132065076864 in words is "one hundred thirty-two billion, sixty-five million, seventy-six thousand, eight hundred sixty-four".