135537 has 4 divisors (see below), whose sum is σ = 180720. Its totient is φ = 90356.

The previous prime is 135533. The next prime is 135559. The reversal of 135537 is 735531.

135537 is nontrivially palindromic in base 14.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 735531 = 3 ⋅245177.

It is a cyclic number.

It is not a de Polignac number, because 135537 - 2² = 135533 is a prime.

It is a D-number.

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

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 3 ways as a sum of consecutive naturals, for example, 22587 + ... + 22592.

It is an arithmetic number, because the mean of its divisors is an integer number (45180).

2¹³⁵⁵³⁷ is an apocalyptic number.

It is an amenable number.

135537 is a deficient number, since it is larger than the sum of its proper divisors (45183).

135537 is an equidigital number, since it uses as much as digits as its factorization.

135537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45182.

The product of its digits is 1575, while the sum is 24.

The square root of 135537 is about 368.1535005945. The cubic root of 135537 is about 51.3672074541.

The spelling of 135537 in words is "one hundred thirty-five thousand, five hundred thirty-seven".