127588003976196 has 135 divisors (see below), whose sum is σ = 335489956398597. Its totient is φ = 42282166834080.

The previous prime is 127588003976141. The next prime is 127588003976197. The reversal of 127588003976196 is 691679300885721.

The square root of 127588003976196 is 11295486.

It is a perfect power (a square), and thus also a powerful number.

127588003976196 is a `hidden beast` number, since 1 + 2 + 7 + 588 + 0 + 0 + 39 + 7 + 6 + 1 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1405917689796 + 126182086286400 = 1185714^2 + 11233080^2 .

It is a super-2 number, since 2×127588003976196² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127588003976197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36800691655 + ... + 36800695121.

Almost surely, 2^{127588003976196} is an apocalyptic number.

127588003976196 is the 11295486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127588003976196

127588003976196 is an abundant number, since it is smaller than the sum of its proper divisors (207901952422401).

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

127588003976196 is an frugal number, since it uses more digits than its factorization.

127588003976196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7312 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 127588003976196 in words is "one hundred twenty-seven trillion, five hundred eighty-eight billion, three million, nine hundred seventy-six thousand, one hundred ninety-six".