125859840 has 192 divisors, whose sum is σ = 428107680. Its totient is φ = 31457280.

The previous prime is 125859827. The next prime is 125859847. The reversal of 125859840 is 48958521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 125859792 and 125859801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125859847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522120 + ... + 522360.

Almost surely, 2^125859840 is an apocalyptic number.

125859840 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 125859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214053840).

125859840 is an abundant number, since it is smaller than the sum of its proper divisors (302247840).

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

125859840 is a wasteful number, since it uses less digits than its factorization.

125859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 125859840 is about 11218.7272005339. The cubic root of 125859840 is about 501.1438346227.

The spelling of 125859840 in words is "one hundred twenty-five million, eight hundred fifty-nine thousand, eight hundred forty".