34206134130 has 144 divisors (see below), whose sum is σ = 104152440600. Its totient is φ = 7765922304.

The previous prime is 34206134101. The next prime is 34206134141. The reversal of 34206134130 is 3143160243.

34206134130 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 613 + 41 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24142633641 + 10063500489 = 155379^2 + 100317^2 .

It is a super-2 number, since 2×34206134130² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34206134094 and 34206134103.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 631062 + ... + 683118.

Almost surely, 2^34206134130 is an apocalyptic number.

34206134130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34206134130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52076220300).

34206134130 is an abundant number, since it is smaller than the sum of its proper divisors (69946306470).

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

34206134130 is a wasteful number, since it uses less digits than its factorization.

34206134130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52233 (or 52223 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34206134130 its reverse (3143160243), we get a palindrome (37349294373).

The spelling of 34206134130 in words is "thirty-four billion, two hundred six million, one hundred thirty-four thousand, one hundred thirty".