125768064 has 64 divisors (see below), whose sum is σ = 336000240. Its totient is φ = 41680896.

The previous prime is 125768053. The next prime is 125768081. The reversal of 125768064 is 460867521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 73264 + ... + 74960.

Almost surely, 2^125768064 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 125768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168000120).

125768064 is an abundant number, since it is smaller than the sum of its proper divisors (210232176).

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

125768064 is a wasteful number, since it uses less digits than its factorization.

125768064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 125768064 is about 11214.6361510305. The cubic root of 125768064 is about 501.0219949627.

The spelling of 125768064 in words is "one hundred twenty-five million, seven hundred sixty-eight thousand, sixty-four".