133930319691168 has 3888 divisors, whose sum is σ = 574927563843360. Its totient is φ = 30371958650880.

The previous prime is 133930319691139. The next prime is 133930319691209. The reversal of 133930319691168 is 861196913039331.

133930319691168 is a `hidden beast` number, since 13 + 3 + 93 + 0 + 319 + 69 + 1 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 216365621163 + ... + 216365621781.

Almost surely, 2^{133930319691168} is an apocalyptic number.

133930319691168 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 133930319691168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287463781921680).

133930319691168 is an abundant number, since it is smaller than the sum of its proper divisors (440997244152192).

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

133930319691168 is a wasteful number, since it uses less digits than its factorization.

133930319691168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The spelling of 133930319691168 in words is "one hundred thirty-three trillion, nine hundred thirty billion, three hundred nineteen million, six hundred ninety-one thousand, one hundred sixty-eight".