135520 has 72 divisors (see below), whose sum is σ = 402192. Its totient is φ = 42240.

The previous prime is 135511. The next prime is 135533. The reversal of 135520 is 25531.

Added to its reverse (25531) it gives a 5-th power (161051 = 11⁵).

It is a hoax number, since the sum of its digits (16) 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 135494 and 135503.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12315 + ... + 12325.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

2¹³⁵⁵²⁰ is an apocalyptic number.

135520 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 135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201096).

135520 is an abundant number, since it is smaller than the sum of its proper divisors (266672).

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

135520 is a wasteful number, since it uses less digits than its factorization.

135520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 135520 is about 368.1304116750. The cubic root of 135520 is about 51.3650597526.

Adding to 135520 its reverse (25531), we get a 5-th power (161051 = 11⁵).

The spelling of 135520 in words is "one hundred thirty-five thousand, five hundred twenty".