127144144 has 30 divisors (see below), whose sum is σ = 254575410. Its totient is φ = 61513920.

The previous prime is 127144123. The next prime is 127144159. The reversal of 127144144 is 441441721.

127144144 = 1103² + 1104² + ... + 1198².

It can be written as a sum of positive squares in only one way, i.e., 124545600 + 2598544 = 11160^2 + 1612^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11242 + ... + 19510.

It is an arithmetic number, because the mean of its divisors is an integer number (8485847).

Almost surely, 2^127144144 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 127144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127287705).

127144144 is an abundant number, since it is smaller than the sum of its proper divisors (127431266).

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

127144144 is an equidigital number, since it uses as much as digits as its factorization.

127144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8339 (or 8302 counting only the distinct ones).

The product of its digits is 3584, while the sum is 28.

The square root of 127144144 is about 11275.8212117788. The cubic root of 127144144 is about 502.8426665328.

Adding to 127144144 its reverse (441441721), we get a palindrome (568585865).

The spelling of 127144144 in words is "one hundred twenty-seven million, one hundred forty-four thousand, one hundred forty-four".