345120144 has 20 divisors (see below), whose sum is σ = 891560496. Its totient is φ = 115040032.

The previous prime is 345120109. The next prime is 345120187. The reversal of 345120144 is 441021543.

345120144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3594954 + ... + 3595049.

Almost surely, 2^345120144 is an apocalyptic number.

It is an amenable number.

345120144 is an abundant number, since it is smaller than the sum of its proper divisors (546440352).

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

345120144 is a wasteful number, since it uses less digits than its factorization.

345120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7190014 (or 7190008 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 345120144 is about 18577.4095072483. The cubic root of 345120144 is about 701.4393133403.

Adding to 345120144 its reverse (441021543), we get a palindrome (786141687).

The spelling of 345120144 in words is "three hundred forty-five million, one hundred twenty thousand, one hundred forty-four".