135300 has 72 divisors (see below), whose sum is σ = 437472. Its totient is φ = 32000.

The previous prime is 135283. The next prime is 135301. The reversal of 135300 is 3531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (135301) by changing a digit.

135300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3280 + ... + 3320.

It is an arithmetic number, because the mean of its divisors is an integer number (6076).

2¹³⁵³⁰⁰ is an apocalyptic number.

135300 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 135300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736).

135300 is an abundant number, since it is smaller than the sum of its proper divisors (302172).

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

135300 is a wasteful number, since it uses less digits than its factorization.

135300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 135300 is about 367.8314831550. The cubic root of 135300 is about 51.3372497527.

Adding to 135300 its reverse (3531), we get a palindrome (138831).

Subtracting from 135300 its reverse (3531), we obtain a square (131769 = 363²).

It can be divided in two parts, 135 and 300, that added together give a triangular number (435 = T₂₉).

The spelling of 135300 in words is "one hundred thirty-five thousand, three hundred".