127338144 has 48 divisors (see below), whose sum is σ = 335573280. Its totient is φ = 42279680.

The previous prime is 127338137. The next prime is 127338161. The reversal of 127338144 is 441833721.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23359 + ... + 28289.

It is an arithmetic number, because the mean of its divisors is an integer number (6991110).

Almost surely, 2^127338144 is an apocalyptic number.

It is an amenable number.

127338144 is an abundant number, since it is smaller than the sum of its proper divisors (208235136).

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

127338144 is a wasteful number, since it uses less digits than its factorization.

127338144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213 (or 5205 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 127338144 is about 11284.4204104597. The cubic root of 127338144 is about 503.0982869142.

The spelling of 127338144 in words is "one hundred twenty-seven million, three hundred thirty-eight thousand, one hundred forty-four".