34137673143 has 24 divisors (see below), whose sum is σ = 53225487360. Its totient is φ = 19405093680.

The previous prime is 34137673127. The next prime is 34137673159.

34137673143 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (34137673127) and next prime (34137673159).

It is not a de Polignac number, because 34137673143 - 2⁴ = 34137673127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34137673095 and 34137673104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34137673643) 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, 579853 + ... + 636006.

It is an arithmetic number, because the mean of its divisors is an integer number (2217728640).

Almost surely, 2^34137673143 is an apocalyptic number.

34137673143 is a deficient number, since it is larger than the sum of its proper divisors (19087814217).

34137673143 is a wasteful number, since it uses less digits than its factorization.

34137673143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216067 (or 1216060 counting only the distinct ones).

The product of its digits is 381024, while the sum is 42.

The spelling of 34137673143 in words is "thirty-four billion, one hundred thirty-seven million, six hundred seventy-three thousand, one hundred forty-three".