125185761856 has 63 divisors (see below), whose sum is σ = 254083402297. Its totient is φ = 61196015360.

The previous prime is 125185761851. The next prime is 125185761881. The reversal of 125185761856 is 658167581521.

It is a happy number.

The square root of 125185761856 is 353816.

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

125185761856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 77626875456 + 47558886400 = 278616^2 + 218080^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 125185761797 and 125185761806.

It is not an unprimeable number, because it can be changed into a prime (125185761851) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133034346 + ... + 133035286.

Almost surely, 2^125185761856 is an apocalyptic number.

125185761856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125185761856 is the 353816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125185761856

125185761856 is an abundant number, since it is smaller than the sum of its proper divisors (128897640441).

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

125185761856 is an frugal number, since it uses more digits than its factorization.

125185761856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 990 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 55.

The spelling of 125185761856 in words is "one hundred twenty-five billion, one hundred eighty-five million, seven hundred sixty-one thousand, eight hundred fifty-six".