127141056 has 224 divisors, whose sum is σ = 446714880. Its totient is φ = 34670592.

The previous prime is 127141043. The next prime is 127141057. The reversal of 127141056 is 650141721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (127141057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277980 + ... + 278436.

Almost surely, 2^127141056 is an apocalyptic number.

127141056 is a gapful number since it is divisible by the number (16) 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 127141056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223357440).

127141056 is an abundant number, since it is smaller than the sum of its proper divisors (319573824).

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

127141056 is a wasteful number, since it uses less digits than its factorization.

127141056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 127141056 is about 11275.6842807876. The cubic root of 127141056 is about 502.8385955871.

Adding to 127141056 its reverse (650141721), we get a palindrome (777282777).

The spelling of 127141056 in words is "one hundred twenty-seven million, one hundred forty-one thousand, fifty-six".