133270288768 has 64 divisors (see below), whose sum is σ = 273011951520. Its totient is φ = 64762040320.

The previous prime is 133270288759. The next prime is 133270288807. The reversal of 133270288768 is 867882072331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×133270288768² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1331946 + ... + 1428502.

Almost surely, 2^133270288768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133270288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136505975760).

133270288768 is an abundant number, since it is smaller than the sum of its proper divisors (139741662752).

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

133270288768 is an equidigital number, since it uses as much as digits as its factorization.

133270288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96875 (or 96863 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 133270288768 in words is "one hundred thirty-three billion, two hundred seventy million, two hundred eighty-eight thousand, seven hundred sixty-eight".