144680256 has 196 divisors, whose sum is σ = 493056672. Its totient is φ = 41243904.

The previous prime is 144680243. The next prime is 144680287. The reversal of 144680256 is 652086441.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144680256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326371 + ... + 326813.

Almost surely, 2^144680256 is an apocalyptic number.

144680256 is a gapful number since it is divisible by the number (16) 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 144680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246528336).

144680256 is an abundant number, since it is smaller than the sum of its proper divisors (348376416).

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

144680256 is an frugal number, since it uses more digits than its factorization.

144680256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 144680256 is about 12028.3106045695. The cubic root of 144680256 is about 524.9723414000.

It can be divided in two parts, 14 and 4680256, that added together give a triangular number (4680270 = T₃₀₅₉).

The spelling of 144680256 in words is "one hundred forty-four million, six hundred eighty thousand, two hundred fifty-six".