144806256 has 120 divisors (see below), whose sum is σ = 468240864. Its totient is φ = 40919040.

The previous prime is 144806243. The next prime is 144806257. The reversal of 144806256 is 652608441.

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 144806256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144806257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97036 + ... + 98516.

Almost surely, 2^144806256 is an apocalyptic number.

144806256 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 144806256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234120432).

144806256 is an abundant number, since it is smaller than the sum of its proper divisors (323434608).

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

144806256 is a wasteful number, since it uses less digits than its factorization.

144806256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1590 counting only the distinct ones).

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

The square root of 144806256 is about 12033.5471079811. The cubic root of 144806256 is about 525.1246941907.

It can be divided in two parts, 14480 and 6256, that added together give a 4-th power (20736 = 12⁴).

The spelling of 144806256 in words is "one hundred forty-four million, eight hundred six thousand, two hundred fifty-six".