125007168 has 224 divisors, whose sum is σ = 404530560. Its totient is φ = 33546240.

The previous prime is 125007167. The next prime is 125007191. The reversal of 125007168 is 861700521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125007163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 796146 + ... + 796302.

It is an arithmetic number, because the mean of its divisors is an integer number (1805940).

Almost surely, 2^125007168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202265280).

125007168 is an abundant number, since it is smaller than the sum of its proper divisors (279523392).

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

125007168 is a wasteful number, since it uses less digits than its factorization.

125007168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 125007168 is about 11180.6604456087. The cubic root of 125007168 is about 500.0095571507.

Adding to 125007168 its reverse (861700521), we get a palindrome (986707689).

The spelling of 125007168 in words is "one hundred twenty-five million, seven thousand, one hundred sixty-eight".