125544960 has 120 divisors (see below), whose sum is σ = 434877300. Its totient is φ = 33472512.

The previous prime is 125544953. The next prime is 125544977. The reversal of 125544960 is 69445521.

125544960 is a `hidden beast` number, since 1 + 2 + 554 + 49 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114575616 + 10969344 = 10704^2 + 3312^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20316 + ... + 25764.

Almost surely, 2^125544960 is an apocalyptic number.

125544960 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 125544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217438650).

125544960 is an abundant number, since it is smaller than the sum of its proper divisors (309332340).

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

125544960 is an equidigital number, since it uses as much as digits as its factorization.

125544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 125544960 is about 11204.6847345206. The cubic root of 125544960 is about 500.7255599496.

The spelling of 125544960 in words is "one hundred twenty-five million, five hundred forty-four thousand, nine hundred sixty".