125125760 has 64 divisors (see below), whose sum is σ = 300975480. Its totient is φ = 49741824.

The previous prime is 125125757. The next prime is 125125801. The reversal of 125125760 is 67521521.

It can be written as a sum of positive squares in 4 ways, for example, as 40043584 + 85082176 = 6328^2 + 9224^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 123014 + ... + 124026.

Almost surely, 2^125125760 is an apocalyptic number.

125125760 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 125125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150487740).

125125760 is an abundant number, since it is smaller than the sum of its proper divisors (175849720).

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

125125760 is a wasteful number, since it uses less digits than its factorization.

125125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 125125760 is about 11185.9626317988. The cubic root of 125125760 is about 500.1676237982.

The spelling of 125125760 in words is "one hundred twenty-five million, one hundred twenty-five thousand, seven hundred sixty".