144257664 has 64 divisors (see below), whose sum is σ = 391386240. Its totient is φ = 47056896.

The previous prime is 144257651. The next prime is 144257677. The reversal of 144257664 is 466752441.

It is an interprime number because it is at equal distance from previous prime (144257651) and next prime (144257677).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14052 + ... + 22044.

It is an arithmetic number, because the mean of its divisors is an integer number (6115410).

Almost surely, 2^144257664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195693120).

144257664 is an abundant number, since it is smaller than the sum of its proper divisors (247128576).

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

144257664 is an equidigital number, since it uses as much as digits as its factorization.

144257664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8057 (or 8045 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 144257664 is about 12010.7312017212. The cubic root of 144257664 is about 524.4607178923.

The spelling of 144257664 in words is "one hundred forty-four million, two hundred fifty-seven thousand, six hundred sixty-four".