127147314 has 64 divisors (see below), whose sum is σ = 304238592. Its totient is φ = 34665600.

The previous prime is 127147303. The next prime is 127147333. The reversal of 127147314 is 413741721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80149 + ... + 81719.

It is an arithmetic number, because the mean of its divisors is an integer number (4753728).

Almost surely, 2^127147314 is an apocalyptic number.

127147314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127147314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152119296).

127147314 is an abundant number, since it is smaller than the sum of its proper divisors (177091278).

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

127147314 is a wasteful number, since it uses less digits than its factorization.

127147314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671.

The product of its digits is 4704, while the sum is 30.

The square root of 127147314 is about 11275.9617771612. The cubic root of 127147314 is about 502.8468455115.

The spelling of 127147314 in words is "one hundred twenty-seven million, one hundred forty-seven thousand, three hundred fourteen".