125802560 has 56 divisors (see below), whose sum is σ = 322621656. Its totient is φ = 46448640.

The previous prime is 125802541. The next prime is 125802569. The reversal of 125802560 is 65208521.

It can be written as a sum of positive squares in 4 ways, for example, as 541696 + 125260864 = 736^2 + 11192^2 .

It is not an unprimeable number, because it can be changed into a prime (125802569) 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, 10961 + ... + 19280.

It is an arithmetic number, because the mean of its divisors is an integer number (5761101).

Almost surely, 2^125802560 is an apocalyptic number.

125802560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125802560 is an abundant number, since it is smaller than the sum of its proper divisors (196819096).

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

125802560 is a wasteful number, since it uses less digits than its factorization.

125802560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30271 (or 30261 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 125802560 is about 11216.1740357396. The cubic root of 125802560 is about 501.0677979916.

The spelling of 125802560 in words is "one hundred twenty-five million, eight hundred two thousand, five hundred sixty".