125865960 has 256 divisors, whose sum is σ = 447897600. Its totient is φ = 27955200.

The previous prime is 125865923. The next prime is 125865973. The reversal of 125865960 is 69568521.

It is a Cunningham number, because it is equal to 11219²-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1593201 + ... + 1593279.

It is an arithmetic number, because the mean of its divisors is an integer number (1749600).

Almost surely, 2^125865960 is an apocalyptic number.

125865960 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 125865960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223948800).

125865960 is an abundant number, since it is smaller than the sum of its proper divisors (322031640).

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

125865960 is a wasteful number, since it uses less digits than its factorization.

125865960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 125865960 is about 11218.9999554327. Note that the first 4 decimals coincide. The cubic root of 125865960 is about 501.1519572840.

The spelling of 125865960 in words is "one hundred twenty-five million, eight hundred sixty-five thousand, nine hundred sixty".