133004431462266 has 256 divisors, whose sum is σ = 364520589189120. Its totient is φ = 35006037857280.

The previous prime is 133004431462249. The next prime is 133004431462291. The reversal of 133004431462266 is 662264134400331.

It is a happy number.

133004431462266 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 4 + 4 + 3 + 14 + 622 + 6 + 6 = 666.

It is a super-2 number, since 2×133004431462266² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7494465205 + ... + 7494482951.

It is an arithmetic number, because the mean of its divisors is an integer number (1423908551520).

Almost surely, 2^{133004431462266} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133004431462266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182260294594560).

133004431462266 is an abundant number, since it is smaller than the sum of its proper divisors (231516157726854).

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

133004431462266 is a wasteful number, since it uses less digits than its factorization.

133004431462266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20826 (or 20820 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

Adding to 133004431462266 its reverse (662264134400331), we get a palindrome (795268565862597).

The spelling of 133004431462266 in words is "one hundred thirty-three trillion, four billion, four hundred thirty-one million, four hundred sixty-two thousand, two hundred sixty-six".