125787744 has 72 divisors (see below), whose sum is σ = 361080720. Its totient is φ = 41534208.

The previous prime is 125787719. The next prime is 125787749. The reversal of 125787744 is 447787521.

125787744 is a `hidden beast` number, since 1 + 2 + 578 + 7 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 125787744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125787749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29389 + ... + 33395.

It is an arithmetic number, because the mean of its divisors is an integer number (5015010).

Almost surely, 2^125787744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125787744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180540360).

125787744 is an abundant number, since it is smaller than the sum of its proper divisors (235292976).

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

125787744 is a wasteful number, since it uses less digits than its factorization.

125787744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4121 counting only the distinct ones).

The product of its digits is 439040, while the sum is 45.

The square root of 125787744 is about 11215.5135415192. The cubic root of 125787744 is about 501.0481266591.

The spelling of 125787744 in words is "one hundred twenty-five million, seven hundred eighty-seven thousand, seven hundred forty-four".