126345355719025 has 9 divisors (see below), whose sum is σ = 156668310781761. Its totient is φ = 101076239613840.

The previous prime is 126345355718993. The next prime is 126345355719049. The reversal of 126345355719025 is 520917553543621.

It is a happy number.

The square root of 126345355719025 is 11240345.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3042453413169 + 123302902305856 = 1744263^2 + 11104184^2 .

It is not a de Polignac number, because 126345355719025 - 2⁵ = 126345355718993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55077691 + ... + 57325759.

Almost surely, 2^{126345355719025} is an apocalyptic number.

126345355719025 is the 11240345-th square number.

126345355719025 is the 5620173-rd centered octagonal number.

It is an amenable number.

126345355719025 is a deficient number, since it is larger than the sum of its proper divisors (30322955062736).

126345355719025 is an frugal number, since it uses more digits than its factorization.

126345355719025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496148 (or 2248074 counting only the distinct ones).

The product of its (nonzero) digits is 34020000, while the sum is 58.

The spelling of 126345355719025 in words is "one hundred twenty-six trillion, three hundred forty-five billion, three hundred fifty-five million, seven hundred nineteen thousand, twenty-five".