133914289283712 has 768 divisors, whose sum is σ = 479760723636480. Its totient is φ = 34975188910080.

The previous prime is 133914289283711. The next prime is 133914289283717. The reversal of 133914289283712 is 217382982419331.

It is a happy number.

133914289283712 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 1 + 4 + 289 + 283 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 133914289283712.

It is not an unprimeable number, because it can be changed into a prime (133914289283711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2896235058 + ... + 2896281294.

It is an arithmetic number, because the mean of its divisors is an integer number (624688442235).

Almost surely, 2^{133914289283712} is an apocalyptic number.

133914289283712 is a gapful number since it is divisible by the number (12) 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 133914289283712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239880361818240).

133914289283712 is an abundant number, since it is smaller than the sum of its proper divisors (345846434352768).

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

133914289283712 is a wasteful number, since it uses less digits than its factorization.

133914289283712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46889 (or 46874 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 133914289283712 in words is "one hundred thirty-three trillion, nine hundred fourteen billion, two hundred eighty-nine million, two hundred eighty-three thousand, seven hundred twelve".