144077120 has 126 divisors (see below), whose sum is σ = 383391918. Its totient is φ = 51532800.

The previous prime is 144077117. The next prime is 144077177. The reversal of 144077120 is 21770441.

It can be written as a sum of positive squares in 3 ways, for example, as 11182336 + 132894784 = 3344^2 + 11528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144077120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2361890 + ... + 2361950.

It is an arithmetic number, because the mean of its divisors is an integer number (3042793).

Almost surely, 2^144077120 is an apocalyptic number.

144077120 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 144077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191695959).

144077120 is an abundant number, since it is smaller than the sum of its proper divisors (239314798).

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

144077120 is an equidigital number, since it uses as much as digits as its factorization.

144077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 144077120 is about 12003.2129032189. The cubic root of 144077120 is about 524.2418323170.

The spelling of 144077120 in words is "one hundred forty-four million, seventy-seven thousand, one hundred twenty".