133062366336 has 128 divisors (see below), whose sum is σ = 356981852160. Its totient is φ = 43912028160.

The previous prime is 133062366313. The next prime is 133062366337. The reversal of 133062366336 is 633663260331.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (133062366337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25405510 + ... + 25410746.

It is an arithmetic number, because the mean of its divisors is an integer number (2788920720).

Almost surely, 2^133062366336 is an apocalyptic number.

133062366336 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 133062366336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178490926080).

133062366336 is an abundant number, since it is smaller than the sum of its proper divisors (223919485824).

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

133062366336 is a wasteful number, since it uses less digits than its factorization.

133062366336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902 (or 5890 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 42.

The spelling of 133062366336 in words is "one hundred thirty-three billion, sixty-two million, three hundred sixty-six thousand, three hundred thirty-six".