125736768 has 84 divisors (see below), whose sum is σ = 376111008. Its totient is φ = 40085760.

The previous prime is 125736763. The next prime is 125736781. The reversal of 125736768 is 867637521.

125736768 is a `hidden beast` number, since 1 + 2 + 573 + 6 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125736763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8503 + ... + 17993.

It is an arithmetic number, because the mean of its divisors is an integer number (4477512).

Almost surely, 2^125736768 is an apocalyptic number.

125736768 is a gapful number since it is divisible by the number (18) 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 125736768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188055504).

125736768 is an abundant number, since it is smaller than the sum of its proper divisors (250374240).

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

125736768 is a wasteful number, since it uses less digits than its factorization.

125736768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9532 (or 9519 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 125736768 is about 11213.2407447624. The cubic root of 125736768 is about 500.9804335767.

It can be divided in two parts, 1257 and 36768, that added together give a square (38025 = 195²).

The spelling of 125736768 in words is "one hundred twenty-five million, seven hundred thirty-six thousand, seven hundred sixty-eight".