125688641 has 8 divisors (see below), whose sum is σ = 135445800. Its totient is φ = 115944192.

The previous prime is 125688637. The next prime is 125688649. The reversal of 125688641 is 146886521.

It can be written as a sum of positive squares in 4 ways, for example, as 9480241 + 116208400 = 3079^2 + 10780^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 125688641 - 2² = 125688637 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125688649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31241 + ... + 35033.

It is an arithmetic number, because the mean of its divisors is an integer number (16930725).

Almost surely, 2^125688641 is an apocalyptic number.

It is an amenable number.

125688641 is a deficient number, since it is larger than the sum of its proper divisors (9757159).

125688641 is a wasteful number, since it uses less digits than its factorization.

125688641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355.

The product of its digits is 92160, while the sum is 41.

The square root of 125688641 is about 11211.0945495968. The cubic root of 125688641 is about 500.9165070034.

The spelling of 125688641 in words is "one hundred twenty-five million, six hundred eighty-eight thousand, six hundred forty-one".