135742257 has 32 divisors (see below), whose sum is σ = 231526400. Its totient is φ = 76994064.

The previous prime is 135742249. The next prime is 135742279. The reversal of 135742257 is 752247531.

135742257 is a `hidden beast` number, since 13 + 574 + 22 + 57 = 666.

It is not a de Polignac number, because 135742257 - 2³ = 135742249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135742207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23688 + ... + 28854.

It is an arithmetic number, because the mean of its divisors is an integer number (7235200).

Almost surely, 2^135742257 is an apocalyptic number.

It is an amenable number.

135742257 is a deficient number, since it is larger than the sum of its proper divisors (95784143).

135742257 is a wasteful number, since it uses less digits than its factorization.

135742257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5316 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 135742257 is about 11650.8479090579. The cubic root of 135742257 is about 513.9312451247.

Adding to 135742257 its reverse (752247531), we get a palindrome (887989788).

The spelling of 135742257 in words is "one hundred thirty-five million, seven hundred forty-two thousand, two hundred fifty-seven".