134857242758431 has 24 divisors (see below), whose sum is σ = 136880696899440. Its totient is φ = 132861070867200.

The previous prime is 134857242758341. The next prime is 134857242758467.

134857242758431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134857242758431 - 2¹⁵ = 134857242725663 is a prime.

It is a super-4 number, since 4×134857242758431⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134857242758471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3753001341 + ... + 3753037273.

It is an arithmetic number, because the mean of its divisors is an integer number (5703362370810).

Almost surely, 2^{134857242758431} is an apocalyptic number.

134857242758431 is a deficient number, since it is larger than the sum of its proper divisors (2023454141009).

134857242758431 is a wasteful number, since it uses less digits than its factorization.

134857242758431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37947 (or 37846 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 64.

The spelling of 134857242758431 in words is "one hundred thirty-four trillion, eight hundred fifty-seven billion, two hundred forty-two million, seven hundred fifty-eight thousand, four hundred thirty-one".