144214560 has 384 divisors, whose sum is σ = 609638400. Its totient is φ = 31104000.

The previous prime is 144214559. The next prime is 144214591. The reversal of 144214560 is 65412441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574435 + ... + 574685.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^144214560 is an apocalyptic number.

144214560 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 144214560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

144214560 is an abundant number, since it is smaller than the sum of its proper divisors (465423840).

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

144214560 is a wasteful number, since it uses less digits than its factorization.

144214560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 144214560 is about 12008.9366723287. The cubic root of 144214560 is about 524.4084766315.

It can be divided in two parts, 14421 and 4560, that added together give a palindrome (18981).

The spelling of 144214560 in words is "one hundred forty-four million, two hundred fourteen thousand, five hundred sixty".