125257728 has 192 divisors, whose sum is σ = 373464000. Its totient is φ = 37158912.

The previous prime is 125257723. The next prime is 125257729. The reversal of 125257728 is 827752521.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125257721) 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 15 ways as a sum of consecutive naturals, for example, 3385326 + ... + 3385362.

It is an arithmetic number, because the mean of its divisors is an integer number (1945125).

Almost surely, 2^125257728 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 125257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732000).

125257728 is an abundant number, since it is smaller than the sum of its proper divisors (248206272).

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

125257728 is a wasteful number, since it uses less digits than its factorization.

125257728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its digits is 78400, while the sum is 39.

The square root of 125257728 is about 11191.8598990516. The cubic root of 125257728 is about 500.3434014303.

The spelling of 125257728 in words is "one hundred twenty-five million, two hundred fifty-seven thousand, seven hundred twenty-eight".