125644008 has 256 divisors, whose sum is σ = 413683200. Its totient is φ = 30965760.

The previous prime is 125643977. The next prime is 125644027. The reversal of 125644008 is 800446521.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3064468 + ... + 3064508.

It is an arithmetic number, because the mean of its divisors is an integer number (1615950).

Almost surely, 2^125644008 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 125644008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

125644008 is an abundant number, since it is smaller than the sum of its proper divisors (288039192).

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

125644008 is a wasteful number, since it uses less digits than its factorization.

125644008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 125644008 is about 11209.1038000368. The cubic root of 125644008 is about 500.8572068862.

The spelling of 125644008 in words is "one hundred twenty-five million, six hundred forty-four thousand, eight".