144260640 has 288 divisors, whose sum is σ = 534957696. Its totient is φ = 35266560.

The previous prime is 144260621. The next prime is 144260653. The reversal of 144260640 is 46062441.

144260640 is a `hidden beast` number, since 14 + 4 + 2 + 6 + 0 + 640 = 666.

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

It is a super-2 number, since 2×144260640² = 41622264506419200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1738039 + ... + 1738121.

It is an arithmetic number, because the mean of its divisors is an integer number (1857492).

Almost surely, 2^144260640 is an apocalyptic number.

144260640 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 144260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267478848).

144260640 is an abundant number, since it is smaller than the sum of its proper divisors (390697056).

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

144260640 is a wasteful number, since it uses less digits than its factorization.

144260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 144260640 is about 12010.8550902923. The cubic root of 144260640 is about 524.4643243658.

The spelling of 144260640 in words is "one hundred forty-four million, two hundred sixty thousand, six hundred forty".