135900 has 54 divisors (see below), whose sum is σ = 428792. Its totient is φ = 36000.

The previous prime is 135899. The next prime is 135911. The reversal of 135900 is 9531.

135900 = 28³ + 29³ + ... + 32³.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 825 + ... + 975.

2¹³⁵⁹⁰⁰ is an apocalyptic number.

135900 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 135900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214396).

135900 is an abundant number, since it is smaller than the sum of its proper divisors (292892).

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

135900 is a wasteful number, since it uses less digits than its factorization.

135900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 135900 is about 368.6461718233. The cubic root of 135900 is about 51.4130244011.

It can be divided in two parts, 135 and 900, that added together give a triangular number (1035 = T₄₅).

The spelling of 135900 in words is "one hundred thirty-five thousand, nine hundred".