540042144 has 24 divisors (see below), whose sum is σ = 1417610880. Its totient is φ = 180014016.

The previous prime is 540042137. The next prime is 540042157. The reversal of 540042144 is 441240045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×540042144² = 583291034592233472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2812624 + ... + 2812815.

It is an arithmetic number, because the mean of its divisors is an integer number (59067120).

Almost surely, 2^540042144 is an apocalyptic number.

It is an amenable number.

540042144 is an abundant number, since it is smaller than the sum of its proper divisors (877568736).

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

540042144 is a wasteful number, since it uses less digits than its factorization.

540042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5625452 (or 5625444 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 540042144 is about 23238.8068540534. The cubic root of 540042144 is about 814.3464689489.

Adding to 540042144 its reverse (441240045), we get a palindrome (981282189).

The spelling of 540042144 in words is "five hundred forty million, forty-two thousand, one hundred forty-four".