125125000 has 224 divisors, whose sum is σ = 393744960. Its totient is φ = 36000000.

The previous prime is 125124983. The next prime is 125125001. The reversal of 125125000 is 521521.

It is not an unprimeable number, because it can be changed into a prime (125125001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9624994 + ... + 9625006.

It is an arithmetic number, because the mean of its divisors is an integer number (1757790).

Almost surely, 2^125125000 is an apocalyptic number.

125125000 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 125125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196872480).

125125000 is an abundant number, since it is smaller than the sum of its proper divisors (268619960).

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

125125000 is an equidigital number, since it uses as much as digits as its factorization.

125125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 125125000 is about 11185.9286605985. The cubic root of 125125000 is about 500.1666111420.

Adding to 125125000 its reverse (521521), we get a palindrome (125646521).

It can be divided in two parts, 125 and 125000, that multiplied together give a cube (15625000 = 250³).

The spelling of 125125000 in words is "one hundred twenty-five million, one hundred twenty-five thousand".