135842319 has 16 divisors (see below), whose sum is σ = 201680640. Its totient is φ = 90366840.

The previous prime is 135842263. The next prime is 135842321. The reversal of 135842319 is 913248531.

It is not a de Polignac number, because 135842319 - 2²⁴ = 119065103 is a prime.

It is a super-2 number, since 2×135842319² = 36906271262595522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135842219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7984 + ... + 18314.

It is an arithmetic number, because the mean of its divisors is an integer number (12605040).

Almost surely, 2^135842319 is an apocalyptic number.

135842319 is a deficient number, since it is larger than the sum of its proper divisors (65838321).

135842319 is a wasteful number, since it uses less digits than its factorization.

135842319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10827 (or 10821 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 135842319 is about 11655.1413118846. The cubic root of 135842319 is about 514.0574950699.

It can be divided in two parts, 135842 and 319, that added together give a square (136161 = 369²).

The spelling of 135842319 in words is "one hundred thirty-five million, eight hundred forty-two thousand, three hundred nineteen".