127974144 has 72 divisors (see below), whose sum is σ = 342386352. Its totient is φ = 42434560.

The previous prime is 127974109. The next prime is 127974151. The reversal of 127974144 is 441479721.

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 7 ways as a sum of consecutive naturals, for example, 215512 + ... + 216104.

It is an arithmetic number, because the mean of its divisors is an integer number (4755366).

Almost surely, 2^127974144 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 127974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171193176).

127974144 is an abundant number, since it is smaller than the sum of its proper divisors (214412208).

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

127974144 is an equidigital number, since it uses as much as digits as its factorization.

127974144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 879 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 127974144 is about 11312.5657567150. The cubic root of 127974144 is about 503.9344837992.

The spelling of 127974144 in words is "one hundred twenty-seven million, nine hundred seventy-four thousand, one hundred forty-four".