132818691968 has 128 divisors (see below), whose sum is σ = 285399223200. Its totient is φ = 61375242240.

The previous prime is 132818691953. The next prime is 132818691977. The reversal of 132818691968 is 869196818231.

132818691968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×132818691968³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132818691968.

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 15 ways as a sum of consecutive naturals, for example, 23327330 + ... + 23333022.

Almost surely, 2^132818691968 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 132818691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142699611600).

132818691968 is an abundant number, since it is smaller than the sum of its proper divisors (152580531232).

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

132818691968 is a wasteful number, since it uses less digits than its factorization.

132818691968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960 (or 5948 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 62.

The spelling of 132818691968 in words is "one hundred thirty-two billion, eight hundred eighteen million, six hundred ninety-one thousand, nine hundred sixty-eight".