133419053464128 has 168 divisors, whose sum is σ = 389406376067072. Its totient is φ = 43667959652352.

The previous prime is 133419053464111. The next prime is 133419053464217. The reversal of 133419053464128 is 821464350914331.

133419053464128 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 1 + 9 + 0 + 53 + 464 + 128 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2305600 + ... + 16497087.

Almost surely, 2^{133419053464128} is an apocalyptic number.

133419053464128 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 133419053464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194703188033536).

133419053464128 is an abundant number, since it is smaller than the sum of its proper divisors (255987322602944).

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

133419053464128 is a wasteful number, since it uses less digits than its factorization.

133419053464128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18802929 (or 18802916 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 133419053464128 in words is "one hundred thirty-three trillion, four hundred nineteen billion, fifty-three million, four hundred sixty-four thousand, one hundred twenty-eight".