133640642649600 has 1440 divisors, whose sum is σ = 512187702174720. Its totient is φ = 33211149189120.

The previous prime is 133640642649581. The next prime is 133640642649607. The reversal of 133640642649600 is 6946246046331.

133640642649600 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 4 + 0 + 6 + 4 + 26 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133640642649607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15698414944 + ... + 15698423456.

It is an arithmetic number, because the mean of its divisors is an integer number (355685904288).

Almost surely, 2^{133640642649600} is an apocalyptic number.

133640642649600 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 133640642649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256093851087360).

133640642649600 is an abundant number, since it is smaller than the sum of its proper divisors (378547059525120).

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

133640642649600 is a wasteful number, since it uses less digits than its factorization.

133640642649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8740 (or 8716 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 133640642649600 in words is "one hundred thirty-three trillion, six hundred forty billion, six hundred forty-two million, six hundred forty-nine thousand, six hundred".