125000320 has 64 divisors (see below), whose sum is σ = 316434600. Its totient is φ = 47054848.

The previous prime is 125000287. The next prime is 125000329. The reversal of 125000320 is 23000521.

It can be written as a sum of positive squares in 4 ways, for example, as 100160064 + 24840256 = 10008^2 + 4984^2 .

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 125000320.

It is not an unprimeable number, because it can be changed into a prime (125000329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5136 + ... + 16624.

Almost surely, 2^125000320 is an apocalyptic number.

125000320 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 125000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158217300).

125000320 is an abundant number, since it is smaller than the sum of its proper divisors (191434280).

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

125000320 is a wasteful number, since it uses less digits than its factorization.

125000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11525 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 125000320 is about 11180.3541983248. The cubic root of 125000320 is about 500.0004266663. Note that the first 3 decimals are identical.

Adding to 125000320 its reverse (23000521), we get a palindrome (148000841).

The spelling of 125000320 in words is "one hundred twenty-five million, three hundred twenty", and thus it is an aban number.