135261819 has 48 divisors (see below), whose sum is σ = 252645120. Its totient is φ = 70256160.

The previous prime is 135261799. The next prime is 135261821. The reversal of 135261819 is 918162531.

135261819 is a `hidden beast` number, since 1 + 35 + 2 + 618 + 1 + 9 = 666.

It is not a de Polignac number, because 135261819 - 2⁵ = 135261787 is a prime.

It is a super-2 number, since 2×135261819² = 36591519358377522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135261869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15097 + ... + 22325.

It is an arithmetic number, because the mean of its divisors is an integer number (5263440).

Almost surely, 2^135261819 is an apocalyptic number.

135261819 is a deficient number, since it is larger than the sum of its proper divisors (117383301).

135261819 is an equidigital number, since it uses as much as digits as its factorization.

135261819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262 (or 7250 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 135261819 is about 11630.2114770111. The cubic root of 135261819 is about 513.3242025793.

The spelling of 135261819 in words is "one hundred thirty-five million, two hundred sixty-one thousand, eight hundred nineteen".