144789840 has 240 divisors, whose sum is σ = 541632000. Its totient is φ = 34421760.

The previous prime is 144789829. The next prime is 144789847. The reversal of 144789840 is 48987441.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144789847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289911 + ... + 290409.

It is an arithmetic number, because the mean of its divisors is an integer number (2256800).

Almost surely, 2^144789840 is an apocalyptic number.

144789840 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 144789840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270816000).

144789840 is an abundant number, since it is smaller than the sum of its proper divisors (396842160).

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

144789840 is a wasteful number, since it uses less digits than its factorization.

144789840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 144789840 is about 12032.8649955029. The cubic root of 144789840 is about 525.1048498069.

The spelling of 144789840 in words is "one hundred forty-four million, seven hundred eighty-nine thousand, eight hundred forty".