63144136 has 64 divisors (see below), whose sum is σ = 135432000. Its totient is φ = 27336960.

The previous prime is 63144127. The next prime is 63144139.

63144136 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×63144136² = 7974363822372992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63144139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278055 + ... + 278281.

It is an arithmetic number, because the mean of its divisors is an integer number (2116125).

Almost surely, 2^63144136 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 63144136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67716000).

63144136 is an abundant number, since it is smaller than the sum of its proper divisors (72287864).

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

63144136 is a wasteful number, since it uses less digits than its factorization.

63144136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 63144136 is about 7946.3284603646. The cubic root of 63144136 is about 398.2089422502.

The spelling of 63144136 in words is "sixty-three million, one hundred forty-four thousand, one hundred thirty-six".