133368033375360 has 1792 divisors, whose sum is σ = 560193283077120. Its totient is φ = 29713078886400.

The previous prime is 133368033375323. The next prime is 133368033375427. The reversal of 133368033375360 is 63573330863331.

133368033375360 is a `hidden beast` number, since 13 + 3 + 3 + 68 + 0 + 3 + 3 + 37 + 536 + 0 = 666.

It is a super-2 number, since 2×133368033375360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 133368033375297 and 133368033375306.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 113892427575 + ... + 113892428745.

It is an arithmetic number, because the mean of its divisors is an integer number (312607858860).

Almost surely, 2^{133368033375360} is an apocalyptic number.

133368033375360 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 133368033375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280096641538560).

133368033375360 is an abundant number, since it is smaller than the sum of its proper divisors (426825249701760).

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

133368033375360 is an equidigital number, since it uses as much as digits as its factorization.

133368033375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 54.

The spelling of 133368033375360 in words is "one hundred thirty-three trillion, three hundred sixty-eight billion, thirty-three million, three hundred seventy-five thousand, three hundred sixty".