135753 has 8 divisors (see below), whose sum is σ = 186048. Its totient is φ = 87984.

The previous prime is 135743. The next prime is 135757. The reversal of 135753 is 357531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 135753 - 2⁵ = 135721 is a prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (135757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501 + ... + 722.

It is an arithmetic number, because the mean of its divisors is an integer number (23256).

2¹³⁵⁷⁵³ is an apocalyptic number.

It is an amenable number.

135753 is a deficient number, since it is larger than the sum of its proper divisors (50295).

135753 is a wasteful number, since it uses less digits than its factorization.

135753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263.

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

The square root of 135753 is about 368.4467397060. The cubic root of 135753 is about 51.3944802725.

It can be divided in two parts, 135 and 753, that added together give a palindrome (888).

The spelling of 135753 in words is "one hundred thirty-five thousand, seven hundred fifty-three".