127714048 has 216 divisors, whose sum is σ = 347970560. Its totient is φ = 45619200.

The previous prime is 127714043. The next prime is 127714049. The reversal of 127714048 is 840417721.

127714048 = T₁₃₉₂ + T₁₃₉₃ + ... + T₁₅₁₂.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127714043) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4119793 + ... + 4119823.

Almost surely, 2^127714048 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 127714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173985280).

127714048 is an abundant number, since it is smaller than the sum of its proper divisors (220256512).

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

127714048 is a wasteful number, since it uses less digits than its factorization.

127714048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 127714048 is about 11301.0640207018. The cubic root of 127714048 is about 503.5928516624.

The spelling of 127714048 in words is "one hundred twenty-seven million, seven hundred fourteen thousand, forty-eight".