144048240 has 240 divisors, whose sum is σ = 577596960. Its totient is φ = 32901120.

The previous prime is 144048197. The next prime is 144048263. The reversal of 144048240 is 42840441.

It is a happy number.

144048240 is a `hidden beast` number, since 14 + 404 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105160 + ... + 106520.

It is an arithmetic number, because the mean of its divisors is an integer number (2406654).

Almost surely, 2^144048240 is an apocalyptic number.

144048240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144048240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288798480).

144048240 is an abundant number, since it is smaller than the sum of its proper divisors (433548720).

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

144048240 is a wasteful number, since it uses less digits than its factorization.

144048240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 144048240 is about 12002.0098316907. The cubic root of 144048240 is about 524.2068021983.

Adding to 144048240 its reverse (42840441), we get a palindrome (186888681).

The spelling of 144048240 in words is "one hundred forty-four million, forty-eight thousand, two hundred forty".