144054240 has 96 divisors (see below), whose sum is σ = 495040896. Its totient is φ = 34920960.

The previous prime is 144054227. The next prime is 144054263. The reversal of 144054240 is 42450441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 144054240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8362 + ... + 18921.

It is an arithmetic number, because the mean of its divisors is an integer number (5156676).

Almost surely, 2^144054240 is an apocalyptic number.

144054240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144054240 is an abundant number, since it is smaller than the sum of its proper divisors (350986656).

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

144054240 is a wasteful number, since it uses less digits than its factorization.

144054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27312 (or 27304 counting only the distinct ones).

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

The square root of 144054240 is about 12002.2597872234. The cubic root of 144054240 is about 524.2140803091.

The spelling of 144054240 in words is "one hundred forty-four million, fifty-four thousand, two hundred forty".