125830320 has 240 divisors, whose sum is σ = 490801920. Its totient is φ = 26104320.

The previous prime is 125830307. The next prime is 125830337. The reversal of 125830320 is 23038521.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202971 + ... + 203589.

It is an arithmetic number, because the mean of its divisors is an integer number (2045008).

Almost surely, 2^125830320 is an apocalyptic number.

125830320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125830320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245400960).

125830320 is an abundant number, since it is smaller than the sum of its proper divisors (364971600).

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

125830320 is a wasteful number, since it uses less digits than its factorization.

125830320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 125830320 is about 11217.4114661093. The cubic root of 125830320 is about 501.1046510283.

Adding to 125830320 its reverse (23038521), we get a palindrome (148868841).

The spelling of 125830320 in words is "one hundred twenty-five million, eight hundred thirty thousand, three hundred twenty".