135100 has 36 divisors (see below), whose sum is σ = 336784. Its totient is φ = 46080.

The previous prime is 135089. The next prime is 135101. The reversal of 135100 is 1531.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 604 + ... + 796.

2¹³⁵¹⁰⁰ is an apocalyptic number.

135100 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 135100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168392).

135100 is an abundant number, since it is smaller than the sum of its proper divisors (201684).

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

135100 is a wasteful number, since it uses less digits than its factorization.

135100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 135100 is about 367.5595189898. The cubic root of 135100 is about 51.3119417626.

Adding to 135100 its reverse (1531), we get a palindrome (136631).

The spelling of 135100 in words is "one hundred thirty-five thousand, one hundred".