8136200 has 48 divisors (see below), whose sum is σ = 20037780. Its totient is φ = 3061760.

The previous prime is 8136197. The next prime is 8136203. The reversal of 8136200 is 26318.

It is an interprime number because it is at equal distance from previous prime (8136197) and next prime (8136203).

It can be written as a sum of positive squares in 6 ways, for example, as 1674436 + 6461764 = 1294^2 + 2542^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (8136203) 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, 2204 + ... + 4596.

Almost surely, 2^8136200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8136200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10018890).

8136200 is an abundant number, since it is smaller than the sum of its proper divisors (11901580).

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

8136200 is a wasteful number, since it uses less digits than its factorization.

8136200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 8136200 is about 2852.4024961425. The cubic root of 8136200 is about 201.1286191144.

The spelling of 8136200 in words is "eight million, one hundred thirty-six thousand, two hundred".