144890240 has 96 divisors (see below), whose sum is σ = 380933280. Its totient is φ = 52659200.

The previous prime is 144890231. The next prime is 144890281. The reversal of 144890240 is 42098441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 144890197 and 144890206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76505 + ... + 78375.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^144890240 is an apocalyptic number.

144890240 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 144890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190466640).

144890240 is an abundant number, since it is smaller than the sum of its proper divisors (236043040).

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

144890240 is a wasteful number, since it uses less digits than its factorization.

144890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 144890240 is about 12037.0361800569. The cubic root of 144890240 is about 525.2261942922.

The spelling of 144890240 in words is "one hundred forty-four million, eight hundred ninety thousand, two hundred forty".