13735134 has 48 divisors (see below), whose sum is σ = 34539648. Its totient is φ = 3863376.

The previous prime is 13735097. The next prime is 13735159. The reversal of 13735134 is 43153731.

13735134 = 170² + 171² + ... + 358².

It is a junction number, because it is equal to n+sod(n) for n = 13735098 and 13735107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7629 + ... + 9255.

It is an arithmetic number, because the mean of its divisors is an integer number (719576).

Almost surely, 2^13735134 is an apocalyptic number.

13735134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13735134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17269824).

13735134 is an abundant number, since it is smaller than the sum of its proper divisors (20804514).

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

13735134 is a wasteful number, since it uses less digits than its factorization.

13735134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1706 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 13735134 is about 3706.0941704172. The cubic root of 13735134 is about 239.4846232372.

Adding to 13735134 its reverse (43153731), we get a palindrome (56888865).

The spelling of 13735134 in words is "thirteen million, seven hundred thirty-five thousand, one hundred thirty-four".