13135740 has 96 divisors (see below), whose sum is σ = 38789184. Its totient is φ = 3317760.

The previous prime is 13135739. The next prime is 13135789. The reversal of 13135740 is 4753131.

It is a self number, because there is not a number n which added to its sum of digits gives 13135740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135372 + ... + 135468.

It is an arithmetic number, because the mean of its divisors is an integer number (404054).

Almost surely, 2^13135740 is an apocalyptic number.

13135740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13135740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19394592).

13135740 is an abundant number, since it is smaller than the sum of its proper divisors (25653444).

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

13135740 is a wasteful number, since it uses less digits than its factorization.

13135740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 13135740 is about 3624.3261442646. The cubic root of 13135740 is about 235.9490218340.

Adding to 13135740 its reverse (4753131), we get a palindrome (17888871).

The spelling of 13135740 in words is "thirteen million, one hundred thirty-five thousand, seven hundred forty".