135380 has 24 divisors (see below), whose sum is σ = 325248. Its totient is φ = 46368.

The previous prime is 135367. The next prime is 135389. The reversal of 135380 is 83531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135389) by changing a digit.

135380 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 7 ways as a sum of consecutive naturals, for example, 344 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (13552).

2¹³⁵³⁸⁰ is an apocalyptic number.

135380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135380 is an abundant number, since it is smaller than the sum of its proper divisors (189868).

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

135380 is a wasteful number, since it uses less digits than its factorization.

135380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 135380 is about 367.9402125346. The cubic root of 135380 is about 51.3473659656.

It can be divided in two parts, 135 and 380, that added together give a palindrome (515).

The spelling of 135380 in words is "one hundred thirty-five thousand, three hundred eighty".