63138912 has 48 divisors (see below), whose sum is σ = 166324032. Its totient is φ = 20972160.

The previous prime is 63138883. The next prime is 63138913. The reversal of 63138912 is 21983136.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63138913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30783 + ... + 32769.

It is an arithmetic number, because the mean of its divisors is an integer number (3465084).

Almost surely, 2^63138912 is an apocalyptic number.

It is an amenable number.

63138912 is an abundant number, since it is smaller than the sum of its proper divisors (103185120).

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

63138912 is a wasteful number, since it uses less digits than its factorization.

63138912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2323 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 63138912 is about 7945.9997483010. Note that the first 3 decimals coincide. The cubic root of 63138912 is about 398.1979604920.

It can be divided in two parts, 6313 and 8912, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 63138912 in words is "sixty-three million, one hundred thirty-eight thousand, nine hundred twelve".