133583364096 has 896 divisors, whose sum is σ = 475605043200. Its totient is φ = 33063174144.

The previous prime is 133583364059. The next prime is 133583364097. The reversal of 133583364096 is 690463385331.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133583364097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2520440806 + ... + 2520440858.

It is an arithmetic number, because the mean of its divisors is an integer number (530809200).

Almost surely, 2^133583364096 is an apocalyptic number.

133583364096 is a gapful number since it is divisible by the number (16) 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 133583364096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237802521600).

133583364096 is an abundant number, since it is smaller than the sum of its proper divisors (342021679104).

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

133583364096 is an equidigital number, since it uses as much as digits as its factorization.

133583364096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 51.

The spelling of 133583364096 in words is "one hundred thirty-three billion, five hundred eighty-three million, three hundred sixty-four thousand, ninety-six".