125757520 has 80 divisors (see below), whose sum is σ = 341049600. Its totient is φ = 43107456.

The previous prime is 125757479. The next prime is 125757521. The reversal of 125757520 is 25757521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125757521) 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, 25149 + ... + 29731.

It is an arithmetic number, because the mean of its divisors is an integer number (4263120).

Almost surely, 2^125757520 is an apocalyptic number.

125757520 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 125757520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170524800).

125757520 is an abundant number, since it is smaller than the sum of its proper divisors (215292080).

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

125757520 is an equidigital number, since it uses as much as digits as its factorization.

125757520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 34.

The square root of 125757520 is about 11214.1660412177. The cubic root of 125757520 is about 501.0079932005.

Subtracting from 125757520 its reverse (25757521), we obtain a palindrome (99999999).

The spelling of 125757520 in words is "one hundred twenty-five million, seven hundred fifty-seven thousand, five hundred twenty".