144912240 has 400 divisors, whose sum is σ = 583355520. Its totient is φ = 32970240.

The previous prime is 144912179. The next prime is 144912269. The reversal of 144912240 is 42219441.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1354267 + ... + 1354373.

Almost surely, 2^144912240 is an apocalyptic number.

144912240 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 144912240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291677760).

144912240 is an abundant number, since it is smaller than the sum of its proper divisors (438443280).

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

144912240 is a wasteful number, since it uses less digits than its factorization.

144912240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 144912240 is about 12037.9499915891. The cubic root of 144912240 is about 525.2527762333.

It can be divided in two parts, 1449 and 12240, that added together give a square (13689 = 117²).

The spelling of 144912240 in words is "one hundred forty-four million, nine hundred twelve thousand, two hundred forty".