144930240 has 504 divisors, whose sum is σ = 632399040. Its totient is φ = 30191616.

The previous prime is 144930229. The next prime is 144930251. The reversal of 144930240 is 42039441.

It is an interprime number because it is at equal distance from previous prime (144930229) and next prime (144930251).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834521 + ... + 1834599.

It is an arithmetic number, because the mean of its divisors is an integer number (1254760).

Almost surely, 2^144930240 is an apocalyptic number.

144930240 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 144930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316199520).

144930240 is an abundant number, since it is smaller than the sum of its proper divisors (487468800).

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

144930240 is a wasteful number, since it uses less digits than its factorization.

144930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 144930240 is about 12038.6976039769. The cubic root of 144930240 is about 525.2745230932.

Adding to 144930240 its reverse (42039441), we get a palindrome (186969681).

The spelling of 144930240 in words is "one hundred forty-four million, nine hundred thirty thousand, two hundred forty".