120513144 has 64 divisors (see below), whose sum is σ = 312423840. Its totient is φ = 38707200.

The previous prime is 120513103. The next prime is 120513161. The reversal of 120513144 is 441315021.

It is a self number, because there is not a number n which added to its sum of digits gives 120513144.

It is a congruent number.

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, 99744 + ... + 100944.

Almost surely, 2^120513144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120513144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156211920).

120513144 is an abundant number, since it is smaller than the sum of its proper divisors (191910696).

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

120513144 is a wasteful number, since it uses less digits than its factorization.

120513144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 120513144 is about 10977.8478765193. The cubic root of 120513144 is about 493.9444828255.

Adding to 120513144 its reverse (441315021), we get a palindrome (561828165).

The spelling of 120513144 in words is "one hundred twenty million, five hundred thirteen thousand, one hundred forty-four".