135700 has 36 divisors (see below), whose sum is σ = 312480. Its totient is φ = 51040.

The previous prime is 135697. The next prime is 135701. The reversal of 135700 is 7531.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2271 + ... + 2329.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2¹³⁵⁷⁰⁰ is an apocalyptic number.

135700 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 135700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

135700 is an abundant number, since it is smaller than the sum of its proper divisors (176780).

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

135700 is a wasteful number, since it uses less digits than its factorization.

135700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 135700 is about 368.3748091279. The cubic root of 135700 is about 51.3877910108.

The spelling of 135700 in words is "one hundred thirty-five thousand, seven hundred".