133526123056242 has 256 divisors, whose sum is σ = 341649100800000. Its totient is φ = 37866425398272.

The previous prime is 133526123056181. The next prime is 133526123056259. The reversal of 133526123056242 is 242650321625331.

133526123056242 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 2 + 6 + 12 + 3 + 0 + 5 + 624 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66796458759 + ... + 66796460757.

It is an arithmetic number, because the mean of its divisors is an integer number (1334566800000).

Almost surely, 2^{133526123056242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133526123056242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170824550400000).

133526123056242 is an abundant number, since it is smaller than the sum of its proper divisors (208122977743758).

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

133526123056242 is a wasteful number, since it uses less digits than its factorization.

133526123056242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 133526123056242 in words is "one hundred thirty-three trillion, five hundred twenty-six billion, one hundred twenty-three million, fifty-six thousand, two hundred forty-two".