135035200 has 84 divisors (see below), whose sum is σ = 341400892. Its totient is φ = 52531200.

The previous prime is 135035191. The next prime is 135035207. The reversal of 135035200 is 2530531.

135035200 = T₁₅₀₄ + T₁₅₀₅ + ... + T₁₆₁₄.

It can be written as a sum of positive squares in 6 ways, for example, as 2509056 + 132526144 = 1584^2 + 11512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135035207) 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, 58060 + ... + 60340.

Almost surely, 2^135035200 is an apocalyptic number.

135035200 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 135035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170700446).

135035200 is an abundant number, since it is smaller than the sum of its proper divisors (206365692).

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

135035200 is a wasteful number, since it uses less digits than its factorization.

135035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 135035200 is about 11620.4647067146. The cubic root of 135035200 is about 513.0373661679.

Adding to 135035200 its reverse (2530531), we get a palindrome (137565731).

The spelling of 135035200 in words is "one hundred thirty-five million, thirty-five thousand, two hundred".