132966065808 has 440 divisors, whose sum is σ = 419113264320. Its totient is φ = 40739086080.

The previous prime is 132966065797. The next prime is 132966065821. The reversal of 132966065808 is 808560669231.

It is a happy number.

132966065808 is a `hidden beast` number, since 1 + 3 + 29 + 6 + 606 + 5 + 8 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 87 ways as a sum of consecutive naturals, for example, 630170823 + ... + 630171033.

Almost surely, 2^132966065808 is an apocalyptic number.

132966065808 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 132966065808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209556632160).

132966065808 is an abundant number, since it is smaller than the sum of its proper divisors (286147198512).

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

132966065808 is an equidigital number, since it uses as much as digits as its factorization.

132966065808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 132966065808 in words is "one hundred thirty-two billion, nine hundred sixty-six million, sixty-five thousand, eight hundred eight".