125905856 has 56 divisors (see below), whose sum is σ = 268711680. Its totient is φ = 58344192.

The previous prime is 125905853. The next prime is 125905889. The reversal of 125905856 is 658509521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125905853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56051 + ... + 58253.

Almost surely, 2^125905856 is an apocalyptic number.

125905856 is a gapful number since it is divisible by the number (16) 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 125905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134355840).

125905856 is an abundant number, since it is smaller than the sum of its proper divisors (142805824).

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

125905856 is a wasteful number, since it uses less digits than its factorization.

125905856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 41.

The square root of 125905856 is about 11220.7778696488. Note that the first 3 decimals coincide. The cubic root of 125905856 is about 501.2049020896.

The spelling of 125905856 in words is "one hundred twenty-five million, nine hundred five thousand, eight hundred fifty-six".