127113840 has 240 divisors, whose sum is σ = 509744160. Its totient is φ = 29030400.

The previous prime is 127113821. The next prime is 127113841. The reversal of 127113840 is 48311721.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127113841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105240 + ... + 106440.

It is an arithmetic number, because the mean of its divisors is an integer number (2123934).

Almost surely, 2^127113840 is an apocalyptic number.

127113840 is a gapful number since it is divisible by the number (10) 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 127113840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254872080).

127113840 is an abundant number, since it is smaller than the sum of its proper divisors (382630320).

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

127113840 is a wasteful number, since it uses less digits than its factorization.

127113840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 127113840 is about 11274.4773714794. The cubic root of 127113840 is about 502.8027135721.

The spelling of 127113840 in words is "one hundred twenty-seven million, one hundred thirteen thousand, eight hundred forty".