8135138025 has 81 divisors (see below), whose sum is σ = 16969619511. Its totient is φ = 3714590880.

The previous prime is 8135137981. The next prime is 8135138071. The reversal of 8135138025 is 5208315318.

The square root of 8135138025 is 90195.

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

It can be written as a sum of positive squares in only one way, i.e., 2928649689 + 5206488336 = 54117^2 + 72156^2 .

It is not a de Polignac number, because 8135138025 - 2¹⁷ = 8135006953 is a prime.

It is a Curzon number.

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, 9470046 + ... + 9470904.

Almost surely, 2^8135138025 is an apocalyptic number.

8135138025 is the 90195-th square number.

8135138025 is the 45098-th centered octagonal number.

It is an amenable number.

8135138025 is an abundant number, since it is smaller than the sum of its proper divisors (8834481486).

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

8135138025 is an equidigital number, since it uses as much as digits as its factorization.

8135138025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The cubic root of 8135138025 is about 2011.1986798324.

Multiplying 8135138025 by its sum of digits (36), we get a square (292864968900 = 541170²).

The spelling of 8135138025 in words is "eight billion, one hundred thirty-five million, one hundred thirty-eight thousand, twenty-five".