34134143124 has 48 divisors (see below), whose sum is σ = 84355242048. Its totient is φ = 10705724928.

The previous prime is 34134143111. The next prime is 34134143129. The reversal of 34134143124 is 42134143143.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34134143091 and 34134143100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134143129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764299 + ... + 807725.

It is an arithmetic number, because the mean of its divisors is an integer number (1757400876).

Almost surely, 2^34134143124 is an apocalyptic number.

34134143124 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34134143124 is an abundant number, since it is smaller than the sum of its proper divisors (50221098924).

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

34134143124 is a wasteful number, since it uses less digits than its factorization.

34134143124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47304 (or 47302 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 34134143124 its reverse (42134143143), we get a palindrome (76268286267).

The spelling of 34134143124 in words is "thirty-four billion, one hundred thirty-four million, one hundred forty-three thousand, one hundred twenty-four".