127141092 has 72 divisors (see below), whose sum is σ = 347603256. Its totient is φ = 38951424.

The previous prime is 127141087. The next prime is 127141093. The reversal of 127141092 is 290141721.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 123076836 = 2016^2 + 11094^2 .

It is not an unprimeable number, because it can be changed into a prime (127141093) 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, 147928 + ... + 148784.

It is an arithmetic number, because the mean of its divisors is an integer number (4827823).

Almost surely, 2^127141092 is an apocalyptic number.

127141092 is a gapful number since it is divisible by the number (12) 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 127141092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173801628).

127141092 is an abundant number, since it is smaller than the sum of its proper divisors (220462164).

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

127141092 is a wasteful number, since it uses less digits than its factorization.

127141092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 127141092 is about 11275.6858771429. The cubic root of 127141092 is about 502.8386430467.

The spelling of 127141092 in words is "one hundred twenty-seven million, one hundred forty-one thousand, ninety-two".