133546726368 has 288 divisors, whose sum is σ = 442260000000. Its totient is φ = 37797580800.

The previous prime is 133546726333. The next prime is 133546726409. The reversal of 133546726368 is 863627645331.

133546726368 is a `hidden beast` number, since 1 + 33 + 546 + 7 + 2 + 6 + 3 + 68 = 666.

133546726368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4258008 + ... + 4289256.

It is an arithmetic number, because the mean of its divisors is an integer number (1535625000).

Almost surely, 2^133546726368 is an apocalyptic number.

133546726368 is a gapful number since it is divisible by the number (18) 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 133546726368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221130000000).

133546726368 is an abundant number, since it is smaller than the sum of its proper divisors (308713273632).

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

133546726368 is a wasteful number, since it uses less digits than its factorization.

133546726368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31366 (or 31355 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 133546726368 in words is "one hundred thirty-three billion, five hundred forty-six million, seven hundred twenty-six thousand, three hundred sixty-eight".