133918369344 has 336 divisors, whose sum is σ = 399539358400. Its totient is φ = 42863800320.

The previous prime is 133918369267. The next prime is 133918369357. The reversal of 133918369344 is 443963819331.

133918369344 is a `hidden beast` number, since 1 + 339 + 183 + 6 + 93 + 44 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 383720082 + ... + 383720430.

Almost surely, 2^133918369344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133918369344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199769679200).

133918369344 is an abundant number, since it is smaller than the sum of its proper divisors (265620989056).

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

133918369344 is a wasteful number, since it uses less digits than its factorization.

133918369344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 645 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 133918369344 in words is "one hundred thirty-three billion, nine hundred eighteen million, three hundred sixty-nine thousand, three hundred forty-four".