135538 has 12 divisors (see below), whose sum is σ = 220698. Its totient is φ = 62400.

The previous prime is 135533. The next prime is 135559. The reversal of 135538 is 835531.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 110889 + 24649 = 333^2 + 157^2 .

It is not an unprimeable number, because it can be changed into a prime (135533) by changing a digit.

135538 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138 + ... + 538.

2¹³⁵⁵³⁸ is an apocalyptic number.

135538 is a deficient number, since it is larger than the sum of its proper divisors (85160).

135538 is a wasteful number, since it uses less digits than its factorization.

135538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 416 counting only the distinct ones).

The product of its digits is 1800, while the sum is 25.

The square root of 135538 is about 368.1548587212. The cubic root of 135538 is about 51.3673337839.

The spelling of 135538 in words is "one hundred thirty-five thousand, five hundred thirty-eight".