133117707760 has 80 divisors (see below), whose sum is σ = 317322502560. Its totient is φ = 51903303680.

The previous prime is 133117707757. The next prime is 133117707761. The reversal of 133117707760 is 67707711331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133117707761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3896031 + ... + 3930049.

It is an arithmetic number, because the mean of its divisors is an integer number (3966531282).

Almost surely, 2^133117707760 is an apocalyptic number.

133117707760 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 133117707760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158661251280).

133117707760 is an abundant number, since it is smaller than the sum of its proper divisors (184204794800).

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

133117707760 is a wasteful number, since it uses less digits than its factorization.

133117707760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35266 (or 35260 counting only the distinct ones).

The product of its (nonzero) digits is 129654, while the sum is 43.

The spelling of 133117707760 in words is "one hundred thirty-three billion, one hundred seventeen million, seven hundred seven thousand, seven hundred sixty".