188134725025 has 27 divisors (see below), whose sum is σ = 252650475819. Its totient is φ = 138909438720.

The previous prime is 188134725013. The next prime is 188134725047. The reversal of 188134725025 is 520527431881.

It is a happy number.

The square root of 188134725025 is 433745.

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

188134725025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 167000543649 + 21134181376 = 408657^2 + 145376^2 .

It is not a de Polignac number, because 188134725025 - 2¹⁵ = 188134692257 is a prime.

It is a super-2 number, since 2×188134725025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 28190089 + ... + 28196761.

Almost surely, 2^188134725025 is an apocalyptic number.

188134725025 is the 433745-th square number.

188134725025 is the 216873-rd centered octagonal number.

It is an amenable number.

188134725025 is a deficient number, since it is larger than the sum of its proper divisors (64515750794).

188134725025 is an frugal number, since it uses more digits than its factorization.

188134725025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13382 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 188134725025 in words is "one hundred eighty-eight billion, one hundred thirty-four million, seven hundred twenty-five thousand, twenty-five".