144079560 has 176 divisors, whose sum is σ = 494237340. Its totient is φ = 37791360.

The previous prime is 144079549. The next prime is 144079561. The reversal of 144079560 is 65970441.

It can be written as a sum of positive squares in 2 ways, for example, as 124947684 + 19131876 = 11178^2 + 4374^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (144079561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 2361930 + ... + 2361990.

Almost surely, 2^144079560 is an apocalyptic number.

144079560 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 144079560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247118670).

144079560 is an abundant number, since it is smaller than the sum of its proper divisors (350157780).

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

144079560 is an frugal number, since it uses more digits than its factorization.

144079560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 144079560 is about 12003.3145422421. The cubic root of 144079560 is about 524.2447917109.

The spelling of 144079560 in words is "one hundred forty-four million, seventy-nine thousand, five hundred sixty".