126469140625 has 27 divisors (see below), whose sum is σ = 158364665011. Its totient is φ = 100997500000.

The previous prime is 126469140619. The next prime is 126469140631. The reversal of 126469140625 is 526041964621.

The square root of 126469140625 is 355625.

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

It is an interprime number because it is at equal distance from previous prime (126469140619) and next prime (126469140631).

It can be written as a sum of positive squares in 13 ways, for example, as 2807198289 + 123661942336 = 52983^2 + 351656^2 .

It is not a de Polignac number, because 126469140625 - 2²³ = 126460752017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 222265341 + ... + 222265909.

Almost surely, 2^126469140625 is an apocalyptic number.

126469140625 is the 355625-th square number.

126469140625 is the 177813-rd centered octagonal number.

It is an amenable number.

126469140625 is a deficient number, since it is larger than the sum of its proper divisors (31895524386).

126469140625 is an frugal number, since it uses more digits than its factorization.

126469140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 126469140625 in words is "one hundred twenty-six billion, four hundred sixty-nine million, one hundred forty thousand, six hundred twenty-five".