133109506560 has 320 divisors, whose sum is σ = 439616719872. Its totient is φ = 34337243136.

The previous prime is 133109506553. The next prime is 133109506583. The reversal of 133109506560 is 65605901331.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35333797 + ... + 35337563.

Almost surely, 2^133109506560 is an apocalyptic number.

133109506560 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 133109506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219808359936).

133109506560 is an abundant number, since it is smaller than the sum of its proper divisors (306507213312).

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

133109506560 is a wasteful number, since it uses less digits than its factorization.

133109506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The spelling of 133109506560 in words is "one hundred thirty-three billion, one hundred nine million, five hundred six thousand, five hundred sixty".