120144160 has 72 divisors (see below), whose sum is σ = 289937340. Its totient is φ = 47043072.

The previous prime is 120144139. The next prime is 120144179. The reversal of 120144160 is 61441021.

It can be written as a sum of positive squares in 2 ways, for example, as 120033936 + 110224 = 10956^2 + 332^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1102186 + ... + 1102294.

Almost surely, 2^120144160 is an apocalyptic number.

120144160 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 120144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144968670).

120144160 is an abundant number, since it is smaller than the sum of its proper divisors (169793180).

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

120144160 is an equidigital number, since it uses as much as digits as its factorization.

120144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 120144160 is about 10961.0291487615. The cubic root of 120144160 is about 493.4398520094.

Adding to 120144160 its reverse (61441021), we get a palindrome (181585181).

The spelling of 120144160 in words is "one hundred twenty million, one hundred forty-four thousand, one hundred sixty".