135268441 has 24 divisors (see below), whose sum is σ = 175815360. Its totient is φ = 101750880.

The previous prime is 135268433. The next prime is 135268447. The reversal of 135268441 is 144862531.

It is not a de Polignac number, because 135268441 - 2³ = 135268433 is a prime.

It is a super-2 number, since 2×135268441² = 36595102261140962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135268397 and 135268406.

It is not an unprimeable number, because it can be changed into a prime (135268447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21810 + ... + 27316.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^135268441 is an apocalyptic number.

135268441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135268441 is a deficient number, since it is larger than the sum of its proper divisors (40546919).

135268441 is a wasteful number, since it uses less digits than its factorization.

135268441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565 (or 5554 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 135268441 is about 11630.4961631050. The cubic root of 135268441 is about 513.3325793640.

The spelling of 135268441 in words is "one hundred thirty-five million, two hundred sixty-eight thousand, four hundred forty-one".