125923840 has 80 divisors (see below), whose sum is σ = 345102912. Its totient is φ = 43167744.

The previous prime is 125923799. The next prime is 125923841. The reversal of 125923840 is 48329521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 125923796 and 125923805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125923841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14407 + ... + 21433.

Almost surely, 2^125923840 is an apocalyptic number.

125923840 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 125923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172551456).

125923840 is an abundant number, since it is smaller than the sum of its proper divisors (219179072).

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

125923840 is an frugal number, since it uses more digits than its factorization.

125923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7057 (or 7041 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 125923840 is about 11221.5792115014. The cubic root of 125923840 is about 501.2287644687.

The spelling of 125923840 in words is "one hundred twenty-five million, nine hundred twenty-three thousand, eight hundred forty".