126939295026756 has 243 divisors, whose sum is σ = 354097848226941. Its totient is φ = 38334296297088.

The previous prime is 126939295026703. The next prime is 126939295026811. The reversal of 126939295026756 is 657620592939621.

The square root of 126939295026756 is 11266734.

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

126939295026756 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 3 + 9 + 2 + 9 + 502 + 67 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67999649516100 + 58939645510656 = 8246190^2 + 7677216^2 .

It is a super-2 number, since 2×126939295026756² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29541374400 + ... + 29541378696.

Almost surely, 2^{126939295026756} is an apocalyptic number.

126939295026756 is the 11266734-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126939295026756

126939295026756 is an abundant number, since it is smaller than the sum of its proper divisors (227158553200185).

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

126939295026756 is an equidigital number, since it uses as much as digits as its factorization.

126939295026756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8688 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 126939295026756 in words is "one hundred twenty-six trillion, nine hundred thirty-nine billion, two hundred ninety-five million, twenty-six thousand, seven hundred fifty-six".