135800 has 48 divisors (see below), whose sum is σ = 364560. Its totient is φ = 46080.

The previous prime is 135799. The next prime is 135829. The reversal of 135800 is 8531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1352 + ... + 1448.

It is an arithmetic number, because the mean of its divisors is an integer number (7595).

2¹³⁵⁸⁰⁰ is an apocalyptic number.

135800 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 135800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182280).

135800 is an abundant number, since it is smaller than the sum of its proper divisors (228760).

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

135800 is a wasteful number, since it uses less digits than its factorization.

135800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 135800 is about 368.5105154538. The cubic root of 135800 is about 51.4004108028.

The spelling of 135800 in words is "one hundred thirty-five thousand, eight hundred".