125240960 has 64 divisors (see below), whose sum is σ = 322456680. Its totient is φ = 46239744.

The previous prime is 125240939. The next prime is 125240963. The reversal of 125240960 is 69042521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 108659776 + 16581184 = 10424^2 + 4072^2 .

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

It is not an unprimeable number, because it can be changed into a prime (125240963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 794 + ... + 15846.

Almost surely, 2^125240960 is an apocalyptic number.

125240960 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 125240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161228340).

125240960 is an abundant number, since it is smaller than the sum of its proper divisors (197215720).

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

125240960 is a wasteful number, since it uses less digits than its factorization.

125240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15085 (or 15073 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 125240960 is about 11191.1107580972. The cubic root of 125240960 is about 500.3210737791.

The spelling of 125240960 in words is "one hundred twenty-five million, two hundred forty thousand, nine hundred sixty".