125946960 has 80 divisors (see below), whose sum is σ = 391582080. Its totient is φ = 33487360.

The previous prime is 125946959. The next prime is 125947007. The reversal of 125946960 is 69649521.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 121645 + ... + 122675.

It is an arithmetic number, because the mean of its divisors is an integer number (4894776).

Almost surely, 2^125946960 is an apocalyptic number.

125946960 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 125946960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195791040).

125946960 is an abundant number, since it is smaller than the sum of its proper divisors (265635120).

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

125946960 is a wasteful number, since it uses less digits than its factorization.

125946960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 125946960 is about 11222.6093222566. The cubic root of 125946960 is about 501.2594383001.

The spelling of 125946960 in words is "one hundred twenty-five million, nine hundred forty-six thousand, nine hundred sixty".