125707520 has 144 divisors (see below), whose sum is σ = 327816720. Its totient is φ = 46006272.

The previous prime is 125707513. The next prime is 125707523. The reversal of 125707520 is 25707521.

It can be written as a sum of positive squares in 8 ways, for example, as 10445824 + 115261696 = 3232^2 + 10736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125707523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1153226 + ... + 1153334.

It is an arithmetic number, because the mean of its divisors is an integer number (2276505).

Almost surely, 2^125707520 is an apocalyptic number.

125707520 is a gapful number since it is divisible by the number (10) 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 125707520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163908360).

125707520 is an abundant number, since it is smaller than the sum of its proper divisors (202109200).

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

125707520 is a wasteful number, since it uses less digits than its factorization.

125707520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 125707520 is about 11211.9364964309. The cubic root of 125707520 is about 500.9415857196.

Subtracting from 125707520 its reverse (25707521), we obtain a palindrome (99999999).

The spelling of 125707520 in words is "one hundred twenty-five million, seven hundred seven thousand, five hundred twenty".