144678240 has 288 divisors, whose sum is σ = 583704576. Its totient is φ = 31933440.

The previous prime is 144678227. The next prime is 144678253. The reversal of 144678240 is 42876441.

144678240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144678227) and next prime (144678253).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144678195 and 144678204.

It is a congruent number.

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, 312249 + ... + 312711.

It is an arithmetic number, because the mean of its divisors is an integer number (2026752).

Almost surely, 2^144678240 is an apocalyptic number.

144678240 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 144678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291852288).

144678240 is an abundant number, since it is smaller than the sum of its proper divisors (439026336).

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

144678240 is a wasteful number, since it uses less digits than its factorization.

144678240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 144678240 is about 12028.2268019854. The cubic root of 144678240 is about 524.9699030366.

The spelling of 144678240 in words is "one hundred forty-four million, six hundred seventy-eight thousand, two hundred forty".