36125200 has 30 divisors (see below), whose sum is σ = 86791754. Its totient is φ = 14449920.

The previous prime is 36125197. The next prime is 36125207. The reversal of 36125200 is 252163.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 698896 + 35426304 = 836^2 + 5952^2 .

It is not an unprimeable number, because it can be changed into a prime (36125207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44757 + ... + 45556.

Almost surely, 2^36125200 is an apocalyptic number.

It is an amenable number.

36125200 is an abundant number, since it is smaller than the sum of its proper divisors (50666554).

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

36125200 is a wasteful number, since it uses less digits than its factorization.

36125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90331 (or 90320 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 36125200 is about 6010.4242778692. The cubic root of 36125200 is about 330.5750609784.

Adding to 36125200 its reverse (252163), we get a palindrome (36377363).

The spelling of 36125200 in words is "thirty-six million, one hundred twenty-five thousand, two hundred".