125826220 has 48 divisors (see below), whose sum is σ = 286403040. Its totient is φ = 46158336.

The previous prime is 125826209. The next prime is 125826251. The reversal of 125826220 is 22628521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40896 + ... + 43864.

It is an arithmetic number, because the mean of its divisors is an integer number (5966730).

Almost surely, 2^125826220 is an apocalyptic number.

125826220 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 125826220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143201520).

125826220 is an abundant number, since it is smaller than the sum of its proper divisors (160576820).

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

125826220 is a wasteful number, since it uses less digits than its factorization.

125826220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 125826220 is about 11217.2287130111. The cubic root of 125826220 is about 501.0992083777.

The spelling of 125826220 in words is "one hundred twenty-five million, eight hundred twenty-six thousand, two hundred twenty".