133942086432 has 576 divisors, whose sum is σ = 500067146880. Its totient is φ = 34775516160.

The previous prime is 133942086427. The next prime is 133942086451. The reversal of 133942086432 is 234680249331.

133942086432 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 4 + 208 + 6 + 432 = 666.

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 95 ways as a sum of consecutive naturals, for example, 56348028 + ... + 56350404.

It is an arithmetic number, because the mean of its divisors is an integer number (868172130).

Almost surely, 2^133942086432 is an apocalyptic number.

133942086432 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 133942086432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250033573440).

133942086432 is an abundant number, since it is smaller than the sum of its proper divisors (366125060448).

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

133942086432 is a wasteful number, since it uses less digits than its factorization.

133942086432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 133942086432 in words is "one hundred thirty-three billion, nine hundred forty-two million, eighty-six thousand, four hundred thirty-two".