144613560 has 512 divisors, whose sum is σ = 609638400. Its totient is φ = 26542080.

The previous prime is 144613487. The next prime is 144613561. The reversal of 144613560 is 65316441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144613561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3527140 + ... + 3527180.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 2^144613560 is an apocalyptic number.

144613560 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 144613560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

144613560 is an abundant number, since it is smaller than the sum of its proper divisors (465024840).

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

144613560 is a wasteful number, since it uses less digits than its factorization.

144613560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 144613560 is about 12025.5378258105. The cubic root of 144613560 is about 524.8916601840.

The spelling of 144613560 in words is "one hundred forty-four million, six hundred thirteen thousand, five hundred sixty".