135553257 has 100 divisors (see below), whose sum is σ = 256224276. Its totient is φ = 71124480.

The previous prime is 135553219. The next prime is 135553309. The reversal of 135553257 is 752355531.

135553257 is a `hidden beast` number, since 1 + 355 + 53 + 257 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 85766121 = 7056^2 + 9261^2 .

It is not a de Polignac number, because 135553257 - 2¹⁴ = 135536873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135553207) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 3306157 + ... + 3306197.

Almost surely, 2^135553257 is an apocalyptic number.

135553257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

135553257 is a deficient number, since it is larger than the sum of its proper divisors (120671019).

135553257 is an frugal number, since it uses more digits than its factorization.

135553257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 68 counting only the distinct ones).

The product of its digits is 78750, while the sum is 36.

The square root of 135553257 is about 11642.7340861157. The cubic root of 135553257 is about 513.6926112037.

The spelling of 135553257 in words is "one hundred thirty-five million, five hundred fifty-three thousand, two hundred fifty-seven".