125424160 has 48 divisors (see below), whose sum is σ = 298261656. Its totient is φ = 49840128.

The previous prime is 125424157. The next prime is 125424179. The reversal of 125424160 is 61424521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79780624 + 45643536 = 8932^2 + 6756^2 .

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 7 ways as a sum of consecutive naturals, for example, 22624 + ... + 27616.

Almost surely, 2^125424160 is an apocalyptic number.

125424160 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 125424160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149130828).

125424160 is an abundant number, since it is smaller than the sum of its proper divisors (172837496).

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

125424160 is a wasteful number, since it uses less digits than its factorization.

125424160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 125424160 is about 11199.2928348177. The cubic root of 125424160 is about 500.5649081838.

Adding to 125424160 its reverse (61424521), we get a palindrome (186848681).

The spelling of 125424160 in words is "one hundred twenty-five million, four hundred twenty-four thousand, one hundred sixty".