135157 has 6 divisors (see below), whose sum is σ = 148694. Its totient is φ = 122760.

The previous prime is 135151. The next prime is 135173. The reversal of 135157 is 751531.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 53361 = 286^2 + 231^2 .

It is not a de Polignac number, because 135157 - 2⁷ = 135029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135151) 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 5 ways as a sum of consecutive naturals, for example, 438 + ... + 679.

2¹³⁵¹⁵⁷ is an apocalyptic number.

It is an amenable number.

135157 is a deficient number, since it is larger than the sum of its proper divisors (13537).

135157 is a wasteful number, since it uses less digits than its factorization.

135157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1128 counting only the distinct ones).

The product of its digits is 525, while the sum is 22.

The square root of 135157 is about 367.6370492755. The cubic root of 135157 is about 51.3191570832.

Adding to 135157 its reverse (751531), we get a palindrome (886688).

It can be divided in two parts, 135 and 157, that added together give a palindrome (292).

The spelling of 135157 in words is "one hundred thirty-five thousand, one hundred fifty-seven".