125601760 has 48 divisors (see below), whose sum is σ = 299403216. Its totient is φ = 49788928.

The previous prime is 125601757. The next prime is 125601767. The reversal of 125601760 is 67106521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125601767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14607 + ... + 21553.

It is an arithmetic number, because the mean of its divisors is an integer number (6237567).

Almost surely, 2^125601760 is an apocalyptic number.

125601760 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 125601760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149701608).

125601760 is an abundant number, since it is smaller than the sum of its proper divisors (173801456).

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

125601760 is a wasteful number, since it uses less digits than its factorization.

125601760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7075 (or 7067 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 125601760 is about 11207.2191019896. The cubic root of 125601760 is about 500.8010625788.

The spelling of 125601760 in words is "one hundred twenty-five million, six hundred one thousand, seven hundred sixty".