135801 has 12 divisors (see below), whose sum is σ = 199680. Its totient is φ = 88920.

The previous prime is 135799. The next prime is 135829. The reversal of 135801 is 108531.

It is a happy number.

It is not a de Polignac number, because 135801 - 2¹ = 135799 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135801.

It is not an unprimeable number, because it can be changed into a prime (135841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616 + ... + 806.

It is an arithmetic number, because the mean of its divisors is an integer number (16640).

2¹³⁵⁸⁰¹ is an apocalyptic number.

It is an amenable number.

135801 is a deficient number, since it is larger than the sum of its proper divisors (63879).

135801 is a wasteful number, since it uses less digits than its factorization.

135801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 135801 is about 368.5118722647. The cubic root of 135801 is about 51.4005369695.

The spelling of 135801 in words is "one hundred thirty-five thousand, eight hundred one".