135200 has 54 divisors (see below), whose sum is σ = 357399. Its totient is φ = 49920.

The previous prime is 135197. The next prime is 135209. The reversal of 135200 is 2531.

Adding to 135200 its reverse (2531), we get a palindrome (137731).

It can be divided in two parts, 135 and 200, that multiplied together give a cube (27000 = 30^{3}).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 8464 + 126736 = 92^2 + 356^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=260.

It is a hoax number, since the sum of its digits (11) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10394 + ... + 10406.

2^{135200} is an apocalyptic number.

135200 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 135200

135200 is an abundant number, since it is smaller than the sum of its proper divisors (222199).

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

135200 is a wasteful number, since it uses less digits than its factorization.

135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 135200 is about 367.6955262170. The cubic root of 135200 is about 51.3245988775.

The spelling of 135200 in words is "one hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 169 200 208 260 325 338 400 416 520 650 676 800 845 1040 1300 1352 1690 2080 2600 2704 3380 4225 5200 5408 6760 8450 10400 13520 16900 27040 33800 67600 135200

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