135270 has 40 divisors (see below), whose sum is σ = 365904. Its totient is φ = 35856.

The previous prime is 135257. The next prime is 135271. The reversal of 135270 is 72531.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 3⁶ + 2¹⁷ + 5⁵ + 7³ + 0 .

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 727 + ... + 893.

2¹³⁵²⁷⁰ is an apocalyptic number.

135270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182952).

135270 is an abundant number, since it is smaller than the sum of its proper divisors (230634).

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

135270 is a wasteful number, since it uses less digits than its factorization.

135270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 135270 is about 367.7907013506. The cubic root of 135270 is about 51.3334551449. Note that the first 3 decimals are identical.

The spelling of 135270 in words is "one hundred thirty-five thousand, two hundred seventy".