132676000268 has 96 divisors (see below), whose sum is σ = 291291033600. Its totient is φ = 51556893696.

The previous prime is 132676000159. The next prime is 132676000307. The reversal of 132676000268 is 862000676231.

It is a happy number.

132676000268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132676000268² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6380873 + ... + 6401631.

It is an arithmetic number, because the mean of its divisors is an integer number (3034281600).

Almost surely, 2^132676000268 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 132676000268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145645516800).

132676000268 is an abundant number, since it is smaller than the sum of its proper divisors (158615033332).

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

132676000268 is a wasteful number, since it uses less digits than its factorization.

132676000268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21279 (or 21277 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

Adding to 132676000268 its reverse (862000676231), we get a palindrome (994676676499).

The spelling of 132676000268 in words is "one hundred thirty-two billion, six hundred seventy-six million, two hundred sixty-eight", and thus it is an aban number.