5040144 has 50 divisors (see below), whose sum is σ = 14591390. Its totient is φ = 1679616.

The previous prime is 5040131. The next prime is 5040163. The reversal of 5040144 is 4410405.

It can be written as a sum of positive squares in only one way, i.e., 4665600 + 374544 = 2160^2 + 612^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 649 + ... + 3240.

Almost surely, 2^5040144 is an apocalyptic number.

5040144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5040144 is an abundant number, since it is smaller than the sum of its proper divisors (9551246).

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

5040144 is a wasteful number, since it uses less digits than its factorization.

5040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 5040144 is about 2245.0265031843. The cubic root of 5040144 is about 171.4540105105.

Adding to 5040144 its reverse (4410405), we get a palindrome (9450549).

It can be divided in two parts, 5040 and 144, that added together give a square (5184 = 72²).

The spelling of 5040144 in words is "five million, forty thousand, one hundred forty-four".