144560640 has 160 divisors (see below), whose sum is σ = 528359040. Its totient is φ = 33030144.

The previous prime is 144560623. The next prime is 144560651. The reversal of 144560640 is 46065441.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a junction number, because it is equal to n+sod(n) for n = 144560598 and 144560607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52416 + ... + 55104.

It is an arithmetic number, because the mean of its divisors is an integer number (3302244).

Almost surely, 2^144560640 is an apocalyptic number.

144560640 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 144560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264179520).

144560640 is an abundant number, since it is smaller than the sum of its proper divisors (383798400).

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

144560640 is an equidigital number, since it uses as much as digits as its factorization.

144560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 144560640 is about 12023.3373070874. The cubic root of 144560640 is about 524.8276259500.

It can be divided in two parts, 14 and 4560640, that added together give a palindrome (4560654).

The spelling of 144560640 in words is "one hundred forty-four million, five hundred sixty thousand, six hundred forty".