133664333536020 has 192 divisors, whose sum is σ = 453214186661376. Its totient is φ = 28733856399360.

The previous prime is 133664333536001. The next prime is 133664333536087. The reversal of 133664333536020 is 20635333466331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3082464 + ... + 16638216.

It is an arithmetic number, because the mean of its divisors is an integer number (2360490555528).

Almost surely, 2^{133664333536020} is an apocalyptic number.

133664333536020 is a gapful number since it is divisible by the number (10) 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 133664333536020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226607093330688).

133664333536020 is an abundant number, since it is smaller than the sum of its proper divisors (319549853125356).

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

133664333536020 is a wasteful number, since it uses less digits than its factorization.

133664333536020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13557170 (or 13557168 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 48.

The spelling of 133664333536020 in words is "one hundred thirty-three trillion, six hundred sixty-four billion, three hundred thirty-three million, five hundred thirty-six thousand, twenty".