144209856 has 112 divisors (see below), whose sum is σ = 443463680. Its totient is φ = 40504320.

The previous prime is 144209851. The next prime is 144209869. The reversal of 144209856 is 658902441.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144209851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81105 + ... + 82863.

Almost surely, 2^144209856 is an apocalyptic number.

144209856 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 144209856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221731840).

144209856 is an abundant number, since it is smaller than the sum of its proper divisors (299253824).

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

144209856 is a wasteful number, since it uses less digits than its factorization.

144209856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 144209856 is about 12008.7408165886. The cubic root of 144209856 is about 524.4027748394.

The spelling of 144209856 in words is "one hundred forty-four million, two hundred nine thousand, eight hundred fifty-six".