133026001364664 has 640 divisors, whose sum is σ = 406638892154880. Its totient is φ = 40504871404800.

The previous prime is 133026001364621. The next prime is 133026001364671. The reversal of 133026001364664 is 466463100620331.

133026001364664 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 600 + 1 + 36 + 4 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49507256329 + ... + 49507259015.

It is an arithmetic number, because the mean of its divisors is an integer number (635373268992).

Almost surely, 2^{133026001364664} 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 133026001364664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203319446077440).

133026001364664 is an abundant number, since it is smaller than the sum of its proper divisors (273612890790216).

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

133026001364664 is a wasteful number, since it uses less digits than its factorization.

133026001364664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

Adding to 133026001364664 its reverse (466463100620331), we get a palindrome (599489101984995).

The spelling of 133026001364664 in words is "one hundred thirty-three trillion, twenty-six billion, one million, three hundred sixty-four thousand, six hundred sixty-four".