133216646688 has 144 divisors (see below), whose sum is σ = 392895037080. Its totient is φ = 42765262848.

The previous prime is 133216646687. The next prime is 133216646741. The reversal of 133216646688 is 886646612331.

133216646688 is a `hidden beast` number, since 13 + 3 + 2 + 166 + 466 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133157848464 + 58798224 = 364908^2 + 7668^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133216646687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3295656 + ... + 3335832.

Almost surely, 2^133216646688 is an apocalyptic number.

133216646688 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 133216646688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196447518540).

133216646688 is an abundant number, since it is smaller than the sum of its proper divisors (259678390392).

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

133216646688 is a wasteful number, since it uses less digits than its factorization.

133216646688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40619 (or 40608 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 133216646688 in words is "one hundred thirty-three billion, two hundred sixteen million, six hundred forty-six thousand, six hundred eighty-eight".