125068940064 has 144 divisors (see below), whose sum is σ = 358265980800. Its totient is φ = 41385738240.

The previous prime is 125068940011. The next prime is 125068940071. The reversal of 125068940064 is 460049860521.

125068940064 is a `hidden beast` number, since 1 + 2 + 506 + 89 + 4 + 0 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27908704 + ... + 27913184.

It is an arithmetic number, because the mean of its divisors is an integer number (2487958200).

Almost surely, 2^125068940064 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 125068940064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179132990400).

125068940064 is an abundant number, since it is smaller than the sum of its proper divisors (233197040736).

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

125068940064 is a wasteful number, since it uses less digits than its factorization.

125068940064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 125068940064 in words is "one hundred twenty-five billion, sixty-eight million, nine hundred forty thousand, sixty-four".