135690 has 16 divisors (see below), whose sum is σ = 325728. Its totient is φ = 36176.

The previous prime is 135671. The next prime is 135697. The reversal of 135690 is 96531.

Added to its reverse (96531) it gives a triangular number (232221 = T₆₈₁).

It is a super-2 number, since 2×135690² = 36823552200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 135690.

It is not an unprimeable number, because it can be changed into a prime (135697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2232 + ... + 2291.

It is an arithmetic number, because the mean of its divisors is an integer number (20358).

2¹³⁵⁶⁹⁰ is an apocalyptic number.

135690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135690 is an abundant number, since it is smaller than the sum of its proper divisors (190038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135690 is a wasteful number, since it uses less digits than its factorization.

135690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 135690 is about 368.3612357456. The cubic root of 135690 is about 51.3865286907.

Adding to 135690 its reverse (96531), we get a triangular number (232221 = T₆₈₁).

The spelling of 135690 in words is "one hundred thirty-five thousand, six hundred ninety".