133896180096 has 768 divisors, whose sum is σ = 491871744000. Its totient is φ = 34790031360.

The previous prime is 133896180059. The next prime is 133896180109. The reversal of 133896180096 is 690081698331.

133896180096 is a `hidden beast` number, since 13 + 3 + 8 + 9 + 618 + 0 + 0 + 9 + 6 = 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, 208236351 + ... + 208236993.

It is an arithmetic number, because the mean of its divisors is an integer number (640458000).

Almost surely, 2^133896180096 is an apocalyptic number.

133896180096 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 133896180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245935872000).

133896180096 is an abundant number, since it is smaller than the sum of its proper divisors (357975563904).

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

133896180096 is a wasteful number, since it uses less digits than its factorization.

133896180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 133896180096 in words is "one hundred thirty-three billion, eight hundred ninety-six million, one hundred eighty thousand, ninety-six".