144120240 has 240 divisors, whose sum is σ = 545965056. Its totient is φ = 33753600.

The previous prime is 144120211. The next prime is 144120259. The reversal of 144120240 is 42021441.

144120240 is a `hidden beast` number, since 14 + 412 + 0 + 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 (18).

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, 245227 + ... + 245813.

Almost surely, 2^144120240 is an apocalyptic number.

144120240 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 144120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272982528).

144120240 is an abundant number, since it is smaller than the sum of its proper divisors (401844816).

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

144120240 is a wasteful number, since it uses less digits than its factorization.

144120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144120240 is about 12005.0089545989. The cubic root of 144120240 is about 524.2941261927.

Adding to 144120240 its reverse (42021441), we get a palindrome (186141681).

The spelling of 144120240 in words is "one hundred forty-four million, one hundred twenty thousand, two hundred forty".