135993 has 16 divisors (see below), whose sum is σ = 213696. Its totient is φ = 75840.

The previous prime is 135979. The next prime is 136013. The reversal of 135993 is 399531.

It is not a de Polignac number, because 135993 - 2⁴ = 135977 is a prime.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 135993.

It is not an unprimeable number, because it can be changed into a prime (135913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (13356).

2¹³⁵⁹⁹³ is an apocalyptic number.

135993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135993 is a deficient number, since it is larger than the sum of its proper divisors (77703).

135993 is a wasteful number, since it uses less digits than its factorization.

135993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344.

The product of its digits is 3645, while the sum is 30.

The square root of 135993 is about 368.7722874621. The cubic root of 135993 is about 51.4247494955.

It can be divided in two parts, 135 and 993, that added together give a triangular number (1128 = T₄₇).

The spelling of 135993 in words is "one hundred thirty-five thousand, nine hundred ninety-three".