125648064 has 224 divisors, whose sum is σ = 402336000. Its totient is φ = 38320128.

The previous prime is 125648063. The next prime is 125648087. The reversal of 125648064 is 460846521.

125648064 is a `hidden beast` number, since 1 + 2 + 5 + 648 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125648063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1411732 + ... + 1411820.

Almost surely, 2^125648064 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 125648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201168000).

125648064 is an abundant number, since it is smaller than the sum of its proper divisors (276687936).

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

125648064 is a wasteful number, since it uses less digits than its factorization.

125648064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 125648064 is about 11209.2847229429. The cubic root of 125648064 is about 500.8625963327.

The spelling of 125648064 in words is "one hundred twenty-five million, six hundred forty-eight thousand, sixty-four".