63135200 has 36 divisors (see below), whose sum is σ = 154130760. Its totient is φ = 25253760.

The previous prime is 63135187. The next prime is 63135227. The reversal of 63135200 is 253136.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38660 + ... + 40259.

It is an arithmetic number, because the mean of its divisors is an integer number (4281410).

Almost surely, 2^63135200 is an apocalyptic number.

It is an amenable number.

63135200 is an abundant number, since it is smaller than the sum of its proper divisors (90995560).

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

63135200 is a wasteful number, since it uses less digits than its factorization.

63135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78939 (or 78926 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 63135200 is about 7945.7661682181. The cubic root of 63135200 is about 398.1901568532.

Adding to 63135200 its reverse (253136), we get a palindrome (63388336).

The spelling of 63135200 in words is "sixty-three million, one hundred thirty-five thousand, two hundred".