134042242240431 has 24 divisors (see below), whose sum is σ = 221614943266080. Its totient is φ = 76478269012416.

The previous prime is 134042242240301. The next prime is 134042242240451.

134042242240431 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 4 + 2 + 242 + 2 + 404 + 3 + 1 = 666.

134042242240431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134042242240431 - 2¹⁰ = 134042242239407 is a prime.

It is a super-2 number, since 2×134042242240431² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134042242240451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1629097176 + ... + 1629179453.

It is an arithmetic number, because the mean of its divisors is an integer number (9233955969420).

Almost surely, 2^{134042242240431} is an apocalyptic number.

134042242240431 is a deficient number, since it is larger than the sum of its proper divisors (87572701025649).

134042242240431 is a wasteful number, since it uses less digits than its factorization.

134042242240431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258277295 (or 3258277292 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 134042242240431 in words is "one hundred thirty-four trillion, forty-two billion, two hundred forty-two million, two hundred forty thousand, four hundred thirty-one".