133831047168 has 576 divisors, whose sum is σ = 482685577920. Its totient is φ = 34780741632.

The previous prime is 133831047167. The next prime is 133831047169. The reversal of 133831047168 is 861740138331.

133831047168 is a `hidden beast` number, since 1 + 3 + 383 + 104 + 7 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (133831047167) and next prime (133831047169).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133831047167) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 122443230 + ... + 122444322.

It is an arithmetic number, because the mean of its divisors is an integer number (837995795).

Almost surely, 2^133831047168 is an apocalyptic number.

133831047168 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 133831047168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241342788960).

133831047168 is an abundant number, since it is smaller than the sum of its proper divisors (348854530752).

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

133831047168 is a wasteful number, since it uses less digits than its factorization.

133831047168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 133831047168 in words is "one hundred thirty-three billion, eight hundred thirty-one million, forty-seven thousand, one hundred sixty-eight".