127114848 has 144 divisors (see below), whose sum is σ = 437542560. Its totient is φ = 34172928.

The previous prime is 127114847. The next prime is 127114861. The reversal of 127114848 is 848411721.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127114843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32418 + ... + 36126.

It is an arithmetic number, because the mean of its divisors is an integer number (3038490).

Almost surely, 2^127114848 is an apocalyptic number.

127114848 is a gapful number since it is divisible by the number (18) 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 127114848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218771280).

127114848 is an abundant number, since it is smaller than the sum of its proper divisors (310427712).

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

127114848 is a wasteful number, since it uses less digits than its factorization.

127114848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3738 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 127114848 is about 11274.5220741280. The cubic root of 127114848 is about 502.8040426269.

The spelling of 127114848 in words is "one hundred twenty-seven million, one hundred fourteen thousand, eight hundred forty-eight".