125916648 has 128 divisors (see below), whose sum is σ = 389491200. Its totient is φ = 33350400.

The previous prime is 125916647. The next prime is 125916677. The reversal of 125916648 is 846619521.

It is not an unprimeable number, because it can be changed into a prime (125916647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64243 + ... + 66173.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 2^125916648 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 125916648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194745600).

125916648 is an abundant number, since it is smaller than the sum of its proper divisors (263574552).

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

125916648 is a wasteful number, since it uses less digits than its factorization.

125916648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1979 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 125916648 is about 11221.2587529207. The cubic root of 125916648 is about 501.2192219127.

The spelling of 125916648 in words is "one hundred twenty-five million, nine hundred sixteen thousand, six hundred forty-eight".