135729 has 16 divisors (see below), whose sum is σ = 219840. Its totient is φ = 82080.

The previous prime is 135727. The next prime is 135731. The reversal of 135729 is 927531.

It is an interprime number because it is at equal distance from previous prime (135727) and next prime (135731).

It is not a de Polignac number, because 135729 - 2¹ = 135727 is a prime.

It is a super-2 number, since 2×135729² = 36844722882, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

135729 is a modest number, since divided by 729 gives 135 as remainder.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (135721) 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, 69 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (13740).

2¹³⁵⁷²⁹ is an apocalyptic number.

It is an amenable number.

135729 is a deficient number, since it is larger than the sum of its proper divisors (84111).

135729 is a wasteful number, since it uses less digits than its factorization.

135729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 135729 is about 368.4141691086. The cubic root of 135729 is about 51.3914513886.

The spelling of 135729 in words is "one hundred thirty-five thousand, seven hundred twenty-nine".