135814408257 has 32 divisors (see below), whose sum is σ = 200951746560. Its totient is φ = 80894400320.

The previous prime is 135814408189. The next prime is 135814408277. The reversal of 135814408257 is 752804418531.

It is a cyclic number.

It is not a de Polignac number, because 135814408257 - 2¹² = 135814404161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135814408277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9488368 + ... + 9502670.

It is an arithmetic number, because the mean of its divisors is an integer number (6279742080).

Almost surely, 2^135814408257 is an apocalyptic number.

It is an amenable number.

135814408257 is a deficient number, since it is larger than the sum of its proper divisors (65137338303).

135814408257 is a wasteful number, since it uses less digits than its factorization.

135814408257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19253.

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 135814408257 in words is "one hundred thirty-five billion, eight hundred fourteen million, four hundred eight thousand, two hundred fifty-seven".