125995800 has 192 divisors, whose sum is σ = 451756800. Its totient is φ = 28454400.

The previous prime is 125995799. The next prime is 125995801. The reversal of 125995800 is 8599521.

It is an interprime number because it is at equal distance from previous prime (125995799) and next prime (125995801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125995801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550086 + ... + 550314.

It is an arithmetic number, because the mean of its divisors is an integer number (2352900).

Almost surely, 2^125995800 is an apocalyptic number.

125995800 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 125995800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225878400).

125995800 is an abundant number, since it is smaller than the sum of its proper divisors (325761000).

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

125995800 is a wasteful number, since it uses less digits than its factorization.

125995800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 125995800 is about 11224.7850758934. The cubic root of 125995800 is about 501.3242231035.

The spelling of 125995800 in words is "one hundred twenty-five million, nine hundred ninety-five thousand, eight hundred".