135813310 has 32 divisors (see below), whose sum is σ = 251903520. Its totient is φ = 52682112.

The previous prime is 135813299. The next prime is 135813313. The reversal of 135813310 is 13318531.

It is a super-3 number, since 3×135813310³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135813313) 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, 205761 + ... + 206419.

It is an arithmetic number, because the mean of its divisors is an integer number (7871985).

Almost surely, 2^135813310 is an apocalyptic number.

135813310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135813310 is a deficient number, since it is larger than the sum of its proper divisors (116090210).

135813310 is a wasteful number, since it uses less digits than its factorization.

135813310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 135813310 is about 11653.8967731828. The cubic root of 135813310 is about 514.0209002993.

The spelling of 135813310 in words is "one hundred thirty-five million, eight hundred thirteen thousand, three hundred ten".