135733 has 8 divisors (see below), whose sum is σ = 149688. Its totient is φ = 122304.

The previous prime is 135731. The next prime is 135743. The reversal of 135733 is 337531.

135733 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 47524 + 88209 = 218^2 + 297^2 .

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

It is not a de Polignac number, because 135733 - 2¹ = 135731 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135731) 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 7 ways as a sum of consecutive naturals, for example, 591 + ... + 787.

It is an arithmetic number, because the mean of its divisors is an integer number (18711).

2¹³⁵⁷³³ is an apocalyptic number.

135733 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135733 is a deficient number, since it is larger than the sum of its proper divisors (13955).

135733 is a wasteful number, since it uses less digits than its factorization.

135733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263.

The product of its digits is 945, while the sum is 22.

The square root of 135733 is about 368.4195977415. The cubic root of 135733 is about 51.3919562274.

It can be divided in two parts, 135 and 733, that added together give a palindrome (868).

The spelling of 135733 in words is "one hundred thirty-five thousand, seven hundred thirty-three".