133052436864 has 512 divisors, whose sum is σ = 414554112000. Its totient is φ = 41976023040.

The previous prime is 133052436799. The next prime is 133052436887. The reversal of 133052436864 is 468634250331.

133052436864 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 524 + 3 + 68 + 64 = 666.

133052436864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 957211707 + ... + 957211845.

It is an arithmetic number, because the mean of its divisors is an integer number (809676000).

Almost surely, 2^133052436864 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 133052436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207277056000).

133052436864 is an abundant number, since it is smaller than the sum of its proper divisors (281501675136).

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

133052436864 is a wasteful number, since it uses less digits than its factorization.

133052436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 133052436864 in words is "one hundred thirty-three billion, fifty-two million, four hundred thirty-six thousand, eight hundred sixty-four".