135457241 has 16 divisors (see below), whose sum is σ = 147258000. Its totient is φ = 124121088.

The previous prime is 135457229. The next prime is 135457249. The reversal of 135457241 is 142754531.

It can be written as a sum of positive squares in 8 ways, for example, as 409600 + 135047641 = 640^2 + 11621^2 .

It is a cyclic number.

It is not a de Polignac number, because 135457241 - 2⁶ = 135457177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135457198 and 135457207.

It is not an unprimeable number, because it can be changed into a prime (135457249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133745 + ... + 134753.

It is an arithmetic number, because the mean of its divisors is an integer number (9203625).

Almost surely, 2^135457241 is an apocalyptic number.

It is an amenable number.

135457241 is a deficient number, since it is larger than the sum of its proper divisors (11800759).

135457241 is a wasteful number, since it uses less digits than its factorization.

135457241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228.

The product of its digits is 16800, while the sum is 32.

The square root of 135457241 is about 11638.6099255882. The cubic root of 135457241 is about 513.5712951469.

The spelling of 135457241 in words is "one hundred thirty-five million, four hundred fifty-seven thousand, two hundred forty-one".