125858304 has 240 divisors, whose sum is σ = 428972544. Its totient is φ = 35020800.

The previous prime is 125858303. The next prime is 125858321. The reversal of 125858304 is 403858521.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (125858303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658849 + ... + 659039.

Almost surely, 2^125858304 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 125858304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

125858304 is an abundant number, since it is smaller than the sum of its proper divisors (303114240).

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

125858304 is a wasteful number, since it uses less digits than its factorization.

125858304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 220 counting only the distinct ones).

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

The square root of 125858304 is about 11218.6587433614. The cubic root of 125858304 is about 501.1417959526.

The spelling of 125858304 in words is "one hundred twenty-five million, eight hundred fifty-eight thousand, three hundred four".