125510020 has 48 divisors (see below), whose sum is σ = 271479600. Its totient is φ = 48711680.

The previous prime is 125510003. The next prime is 125510053. The reversal of 125510020 is 20015521.

125510020 = 156² + 157² + ... + 724².

It can be written as a sum of positive squares in 8 ways, for example, as 64545156 + 60964864 = 8034^2 + 7808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125509976 and 125510003.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 220296 + ... + 220864.

It is an arithmetic number, because the mean of its divisors is an integer number (5655825).

Almost surely, 2^125510020 is an apocalyptic number.

125510020 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 125510020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135739800).

125510020 is an abundant number, since it is smaller than the sum of its proper divisors (145969580).

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

125510020 is a wasteful number, since it uses less digits than its factorization.

125510020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 886 counting only the distinct ones).

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

The square root of 125510020 is about 11203.1254567643. The cubic root of 125510020 is about 500.6791038849.

Adding to 125510020 its reverse (20015521), we get a palindrome (145525541).

The spelling of 125510020 in words is "one hundred twenty-five million, five hundred ten thousand, twenty".