133305849696 has 96 divisors (see below), whose sum is σ = 350976447360. Its totient is φ = 44302362624.

The previous prime is 133305849659. The next prime is 133305849697. The reversal of 133305849696 is 696948503331.

It is a happy number.

133305849696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133305849697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84423435 + ... + 84425013.

It is an arithmetic number, because the mean of its divisors is an integer number (3656004660).

Almost surely, 2^133305849696 is an apocalyptic number.

133305849696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133305849696 is an abundant number, since it is smaller than the sum of its proper divisors (217670597664).

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

133305849696 is a wasteful number, since it uses less digits than its factorization.

133305849696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 57.

The spelling of 133305849696 in words is "one hundred thirty-three billion, three hundred five million, eight hundred forty-nine thousand, six hundred ninety-six".