63141200 has 60 divisors (see below), whose sum is σ = 155266848. Its totient is φ = 24662400.

The previous prime is 63141191. The next prime is 63141227. The reversal of 63141200 is 214136.

63141200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63141200² = 7973622274880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15365 + ... + 19035.

Almost surely, 2^63141200 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 63141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77633424).

63141200 is an abundant number, since it is smaller than the sum of its proper divisors (92125648).

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

63141200 is a wasteful number, since it uses less digits than its factorization.

63141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 63141200 is about 7946.1437188110. The cubic root of 63141200 is about 398.2027703412.

Adding to 63141200 its reverse (214136), we get a palindrome (63355336).

The spelling of 63141200 in words is "sixty-three million, one hundred forty-one thousand, two hundred".