125081856 has 81 divisors (see below), whose sum is σ = 362196289. Its totient is φ = 41515008.

The previous prime is 125081851. The next prime is 125081863. The reversal of 125081856 is 658180521.

The square root of 125081856 is 11184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25401600 + 99680256 = 5040^2 + 9984^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125081856.

It is not an unprimeable number, because it can be changed into a prime (125081851) 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 8 ways as a sum of consecutive naturals, for example, 536716 + ... + 536948.

Almost surely, 2^125081856 is an apocalyptic number.

125081856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125081856 is the 11184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125081856

125081856 is an abundant number, since it is smaller than the sum of its proper divisors (237114433).

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

125081856 is an frugal number, since it uses more digits than its factorization.

125081856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The cubic root of 125081856 is about 500.1091175183.

Multiplying 125081856 by its sum of digits (36), we get a square (4502946816 = 67104²).

125081856 divided by its sum of digits (36) gives a square (3474496 = 1864²).

The spelling of 125081856 in words is "one hundred twenty-five million, eighty-one thousand, eight hundred fifty-six".