135780 has 48 divisors (see below), whose sum is σ = 397824. Its totient is φ = 34560.

The previous prime is 135757. The next prime is 135781. The reversal of 135780 is 87531.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 135780.

It is not an unprimeable number, because it can be changed into a prime (135781) by changing a digit.

135780 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 15 ways as a sum of consecutive naturals, for example, 1824 + ... + 1896.

It is an arithmetic number, because the mean of its divisors is an integer number (8288).

2¹³⁵⁷⁸⁰ is an apocalyptic number.

135780 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 135780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198912).

135780 is an abundant number, since it is smaller than the sum of its proper divisors (262044).

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

135780 is a wasteful number, since it uses less digits than its factorization.

135780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 135780 is about 368.4833781869. The cubic root of 135780 is about 51.3978873402.

Subtracting from 135780 its product of nonzero digits (840), we obtain a triangular number (134940 = T₅₁₉).

The spelling of 135780 in words is "one hundred thirty-five thousand, seven hundred eighty".