125951760 has 480 divisors, whose sum is σ = 519966720. Its totient is φ = 27993600.

The previous prime is 125951743. The next prime is 125951767. The reversal of 125951760 is 67159521.

125951760 is a `hidden beast` number, since 1 + 2 + 595 + 1 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125951767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062945 + ... + 4062975.

It is an arithmetic number, because the mean of its divisors is an integer number (1083264).

Almost surely, 2^125951760 is an apocalyptic number.

125951760 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 125951760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

125951760 is an abundant number, since it is smaller than the sum of its proper divisors (394014960).

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

125951760 is a wasteful number, since it uses less digits than its factorization.

125951760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 125951760 is about 11222.8231742285. The cubic root of 125951760 is about 501.2658060990.

The spelling of 125951760 in words is "one hundred twenty-five million, nine hundred fifty-one thousand, seven hundred sixty".