133945791831936 has 768 divisors, whose sum is σ = 468846666288000. Its totient is φ = 35832020336640.

The previous prime is 133945791831857. The next prime is 133945791831989. The reversal of 133945791831936 is 639138197549331.

133945791831936 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 4 + 579 + 1 + 8 + 3 + 19 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22055948196 + ... + 22055954268.

Almost surely, 2^{133945791831936} is an apocalyptic number.

133945791831936 is a gapful number since it is divisible by the number (16) 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 133945791831936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234423333144000).

133945791831936 is an abundant number, since it is smaller than the sum of its proper divisors (334900874456064).

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

133945791831936 is a wasteful number, since it uses less digits than its factorization.

133945791831936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927 (or 6912 counting only the distinct ones).

The product of its digits is 396809280, while the sum is 72.

The spelling of 133945791831936 in words is "one hundred thirty-three trillion, nine hundred forty-five billion, seven hundred ninety-one million, eight hundred thirty-one thousand, nine hundred thirty-six".