125803584 has 112 divisors (see below), whose sum is σ = 377952000. Its totient is φ = 41015808.

The previous prime is 125803577. The next prime is 125803591. The reversal of 125803584 is 485308521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125803577) and next prime (125803591).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80442 + ... + 81990.

Almost surely, 2^125803584 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 125803584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188976000).

125803584 is an abundant number, since it is smaller than the sum of its proper divisors (252148416).

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

125803584 is a wasteful number, since it uses less digits than its factorization.

125803584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 125803584 is about 11216.2196840112. The cubic root of 125803584 is about 501.0691575082.

The spelling of 125803584 in words is "one hundred twenty-five million, eight hundred three thousand, five hundred eighty-four".