133685950464 has 288 divisors, whose sum is σ = 443392185600. Its totient is φ = 38377635840.

The previous prime is 133685950427. The next prime is 133685950471. The reversal of 133685950464 is 464059586331.

133685950464 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 8 + 595 + 0 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 133685950464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3834937 + ... + 3869639.

It is an arithmetic number, because the mean of its divisors is an integer number (1539556200).

Almost surely, 2^133685950464 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 133685950464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221696092800).

133685950464 is an abundant number, since it is smaller than the sum of its proper divisors (309706235136).

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

133685950464 is a wasteful number, since it uses less digits than its factorization.

133685950464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34761 (or 34738 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 133685950464 in words is "one hundred thirty-three billion, six hundred eighty-five million, nine hundred fifty thousand, four hundred sixty-four".