125395220 has 48 divisors (see below), whose sum is σ = 277110288. Its totient is φ = 47600640.

The previous prime is 125395211. The next prime is 125395243. The reversal of 125395220 is 22593521.

It can be written as a sum of positive squares in 8 ways, for example, as 16 + 125395204 = 4^2 + 11198^2 .

It is a super-2 number, since 2×125395220² = 31447922397696800, which contains 22 as substring.

It is a congruent number.

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, 28274 + ... + 32406.

It is an arithmetic number, because the mean of its divisors is an integer number (5773131).

Almost surely, 2^125395220 is an apocalyptic number.

125395220 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 125395220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138555144).

125395220 is an abundant number, since it is smaller than the sum of its proper divisors (151715068).

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

125395220 is a wasteful number, since it uses less digits than its factorization.

125395220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 125395220 is about 11198.0007144133. Note that the first 3 decimals coincide. The cubic root of 125395220 is about 500.5264055998.

The spelling of 125395220 in words is "one hundred twenty-five million, three hundred ninety-five thousand, two hundred twenty".