133585949952 has 1296 divisors, whose sum is σ = 534864435840. Its totient is φ = 32089374720.

The previous prime is 133585949929. The next prime is 133585950007. The reversal of 133585949952 is 259949585331.

133585949952 is a `hidden beast` number, since 1 + 3 + 3 + 585 + 9 + 49 + 9 + 5 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133585949952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4309224177 + ... + 4309224207.

It is an arithmetic number, because the mean of its divisors is an integer number (412704040).

Almost surely, 2^133585949952 is an apocalyptic number.

133585949952 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 133585949952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267432217920).

133585949952 is an abundant number, since it is smaller than the sum of its proper divisors (401278485888).

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

133585949952 is a wasteful number, since it uses less digits than its factorization.

133585949952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 73 counting only the distinct ones).

The product of its digits is 52488000, while the sum is 63.

The spelling of 133585949952 in words is "one hundred thirty-three billion, five hundred eighty-five million, nine hundred forty-nine thousand, nine hundred fifty-two".