125306578944 has 288 divisors, whose sum is σ = 399880877760. Its totient is φ = 37600493568.

The previous prime is 125306578913. The next prime is 125306578963. The reversal of 125306578944 is 449875603521.

It is a happy number.

125306578944 is a `hidden beast` number, since 1 + 2 + 530 + 65 + 7 + 8 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 7198219 + ... + 7215605.

It is an arithmetic number, because the mean of its divisors is an integer number (1388475270).

It is a 1-persistent number, because it is pandigital, but 2⋅125306578944 = 250613157888 is not.

Almost surely, 2^125306578944 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 125306578944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199940438880).

125306578944 is an abundant number, since it is smaller than the sum of its proper divisors (274574298816).

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

125306578944 is a wasteful number, since it uses less digits than its factorization.

125306578944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17455 (or 17432 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 125306578944 in words is "one hundred twenty-five billion, three hundred six million, five hundred seventy-eight thousand, nine hundred forty-four".