127581138 has 48 divisors (see below), whose sum is σ = 289598400. Its totient is φ = 40515552.

The previous prime is 127581137. The next prime is 127581149. The reversal of 127581138 is 831185721.

It is not an unprimeable number, because it can be changed into a prime (127581133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144045 + ... + 144927.

It is an arithmetic number, because the mean of its divisors is an integer number (6033300).

Almost surely, 2^127581138 is an apocalyptic number.

127581138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127581138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144799200).

127581138 is an abundant number, since it is smaller than the sum of its proper divisors (162017262).

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

127581138 is a wasteful number, since it uses less digits than its factorization.

127581138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1260 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 127581138 is about 11295.1820702457. The cubic root of 127581138 is about 503.4180973083.

The spelling of 127581138 in words is "one hundred twenty-seven million, five hundred eighty-one thousand, one hundred thirty-eight".