125787168 has 120 divisors (see below), whose sum is σ = 398499948. Its totient is φ = 38693376.

The previous prime is 125787157. The next prime is 125787187. The reversal of 125787168 is 861787521.

It is a happy number.

125787168 is a `hidden beast` number, since 1 + 2 + 578 + 71 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122146704 + 3640464 = 11052^2 + 1908^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31830 + ... + 35562.

Almost surely, 2^125787168 is an apocalyptic number.

125787168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125787168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199249974).

125787168 is an abundant number, since it is smaller than the sum of its proper divisors (272712780).

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

125787168 is a wasteful number, since it uses less digits than its factorization.

125787168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3751 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The square root of 125787168 is about 11215.4878627726. The cubic root of 125787168 is about 501.0473618677.

The spelling of 125787168 in words is "one hundred twenty-five million, seven hundred eighty-seven thousand, one hundred sixty-eight".