133495251943680 has 1728 divisors, whose sum is σ = 555161978262528. Its totient is φ = 29247107235840.

The previous prime is 133495251943673. The next prime is 133495251943693. The reversal of 133495251943680 is 86349152594331.

133495251943680 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 9 + 5 + 2 + 519 + 4 + 36 + 80 = 666.

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 191 ways as a sum of consecutive naturals, for example, 5366199402 + ... + 5366224278.

It is an arithmetic number, because the mean of its divisors is an integer number (321274292976).

Almost surely, 2^{133495251943680} is an apocalyptic number.

133495251943680 is a gapful number since it is divisible by the number (10) 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 133495251943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277580989131264).

133495251943680 is an abundant number, since it is smaller than the sum of its proper divisors (421666726318848).

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

133495251943680 is a wasteful number, since it uses less digits than its factorization.

133495251943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25032 (or 25015 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 133495251943680 in words is "one hundred thirty-three trillion, four hundred ninety-five billion, two hundred fifty-one million, nine hundred forty-three thousand, six hundred eighty".