125858040 has 256 divisors, whose sum is σ = 481489920. Its totient is φ = 25559040.

The previous prime is 125858023. The next prime is 125858077. The reversal of 125858040 is 40858521.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 125857992 and 125858010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 489592 + ... + 489848.

It is an arithmetic number, because the mean of its divisors is an integer number (1880820).

Almost surely, 2^125858040 is an apocalyptic number.

125858040 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 125858040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240744960).

125858040 is an abundant number, since it is smaller than the sum of its proper divisors (355631880).

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

125858040 is a wasteful number, since it uses less digits than its factorization.

125858040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 125858040 is about 11218.6469772428. The cubic root of 125858040 is about 501.1414455545.

The spelling of 125858040 in words is "one hundred twenty-five million, eight hundred fifty-eight thousand, forty".