135540 has 48 divisors (see below), whose sum is σ = 423360. Its totient is φ = 36000.

The previous prime is 135533. The next prime is 135559. The reversal of 135540 is 45531.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

135540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 415 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2¹³⁵⁵⁴⁰ is an apocalyptic number.

135540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

135540 is an abundant number, since it is smaller than the sum of its proper divisors (287820).

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

135540 is a wasteful number, since it uses less digits than its factorization.

135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 135540 is about 368.1575749594. The cubic root of 135540 is about 51.3675864416.

Subtracting from 135540 its reverse (45531), we obtain a palindrome (90009).

It can be divided in two parts, 135 and 540, that multiplied together give a square (72900 = 270²).

The spelling of 135540 in words is "one hundred thirty-five thousand, five hundred forty".