125123920 has 20 divisors (see below), whose sum is σ = 290913300. Its totient is φ = 50049536.

The previous prime is 125123903. The next prime is 125123963. The reversal of 125123920 is 29321521.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80928016 + 44195904 = 8996^2 + 6648^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 781945 + ... + 782104.

It is an arithmetic number, because the mean of its divisors is an integer number (14545665).

Almost surely, 2^125123920 is an apocalyptic number.

125123920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125123920 is an abundant number, since it is smaller than the sum of its proper divisors (165789380).

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

125123920 is a wasteful number, since it uses less digits than its factorization.

125123920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564062 (or 1564056 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 125123920 is about 11185.8803855575. The cubic root of 125123920 is about 500.1651720970.

The spelling of 125123920 in words is "one hundred twenty-five million, one hundred twenty-three thousand, nine hundred twenty".