125180160 has 144 divisors (see below), whose sum is σ = 457005696. Its totient is φ = 28606464.

The previous prime is 125180141. The next prime is 125180177. The reversal of 125180160 is 61081521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125180160.

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, 24552 + ... + 29208.

Almost surely, 2^125180160 is an apocalyptic number.

125180160 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 125180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228502848).

125180160 is an abundant number, since it is smaller than the sum of its proper divisors (331825536).

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

125180160 is an equidigital number, since it uses as much as digits as its factorization.

125180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 125180160 is about 11188.3939866274. The cubic root of 125180160 is about 500.2400980208.

The spelling of 125180160 in words is "one hundred twenty-five million, one hundred eighty thousand, one hundred sixty".