125141185009 has 9 divisors (see below), whose sum is σ = 132941834337. Its totient is φ = 117774278784.

The previous prime is 125141185003. The next prime is 125141185019. The reversal of 125141185009 is 900581141521.

It is a happy number.

The square root of 125141185009 is 353753.

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 159138225 + 124982046784 = 12615^2 + 353528^2 .

It is not a de Polignac number, because 125141185009 - 2⁵ = 125141184977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125141185003) by changing a digit.

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, 6003397 + ... + 6024205.

Almost surely, 2^125141185009 is an apocalyptic number.

125141185009 is the 353753-rd square number.

125141185009 is the 176877-th centered octagonal number.

It is an amenable number.

125141185009 is a deficient number, since it is larger than the sum of its proper divisors (7800649328).

125141185009 is an frugal number, since it uses more digits than its factorization.

125141185009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41652 (or 20826 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 37.

The spelling of 125141185009 in words is "one hundred twenty-five billion, one hundred forty-one million, one hundred eighty-five thousand, nine".