125205640 has 64 divisors (see below), whose sum is σ = 324374400. Its totient is φ = 42605568.

The previous prime is 125205623. The next prime is 125205653. The reversal of 125205640 is 46502521.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37312 + ... + 40528.

It is an arithmetic number, because the mean of its divisors is an integer number (5068350).

Almost surely, 2^125205640 is an apocalyptic number.

125205640 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 125205640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162187200).

125205640 is an abundant number, since it is smaller than the sum of its proper divisors (199168760).

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

125205640 is a wasteful number, since it uses less digits than its factorization.

125205640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 125205640 is about 11189.5326086481. The cubic root of 125205640 is about 500.2740364473.

The spelling of 125205640 in words is "one hundred twenty-five million, two hundred five thousand, six hundred forty".