135205417 has 16 divisors (see below), whose sum is σ = 141426432. Its totient is φ = 129168000.

The previous prime is 135205393. The next prime is 135205429. The reversal of 135205417 is 714502531.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-135205417 is a prime.

It is a super-2 number, since 2×135205417² = 36561009572287778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135205457) 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, 538542 + ... + 538792.

It is an arithmetic number, because the mean of its divisors is an integer number (8839152).

Almost surely, 2^135205417 is an apocalyptic number.

It is an amenable number.

135205417 is a deficient number, since it is larger than the sum of its proper divisors (6221015).

135205417 is a wasteful number, since it uses less digits than its factorization.

135205417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 135205417 is about 11627.7864187471. The cubic root of 135205417 is about 513.2528433515.

Adding to 135205417 its reverse (714502531), we get a palindrome (849707948).

The spelling of 135205417 in words is "one hundred thirty-five million, two hundred five thousand, four hundred seventeen".