135290813 has 12 divisors (see below), whose sum is σ = 158943132. Its totient is φ = 114811200.

The previous prime is 135290791. The next prime is 135290861. The reversal of 135290813 is 318092531.

135290813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 128436889 + 6853924 = 11333^2 + 2618^2 .

It is not a de Polignac number, because 135290813 - 2⁸ = 135290557 is a prime.

It is a super-3 number, since 3×135290813³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135290813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135290873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8720 + ... + 18617.

It is an arithmetic number, because the mean of its divisors is an integer number (13245261).

Almost surely, 2^135290813 is an apocalyptic number.

It is an amenable number.

135290813 is a deficient number, since it is larger than the sum of its proper divisors (23652319).

135290813 is a wasteful number, since it uses less digits than its factorization.

135290813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27452 (or 27445 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 135290813 is about 11631.4579051811. The cubic root of 135290813 is about 513.3608777690.

The spelling of 135290813 in words is "one hundred thirty-five million, two hundred ninety thousand, eight hundred thirteen".