125985408 has 64 divisors (see below), whose sum is σ = 338966400. Its totient is φ = 41453568.

The previous prime is 125985373. The next prime is 125985413. The reversal of 125985408 is 804589521.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 125985408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28260 + ... + 32412.

It is an arithmetic number, because the mean of its divisors is an integer number (5296350).

Almost surely, 2^125985408 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 125985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169483200).

125985408 is an abundant number, since it is smaller than the sum of its proper divisors (212980992).

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

125985408 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (125985407) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (4249).

125985408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 125985408 is about 11224.3221621620. The cubic root of 125985408 is about 501.3104398278.

The spelling of 125985408 in words is "one hundred twenty-five million, nine hundred eighty-five thousand, four hundred eight".