125116160 has 144 divisors (see below), whose sum is σ = 330343104. Its totient is φ = 45121536.

The previous prime is 125116139. The next prime is 125116177. The reversal of 125116160 is 61611521.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1214669 + ... + 1214771.

Almost surely, 2^125116160 is an apocalyptic number.

125116160 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 125116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165171552).

125116160 is an abundant number, since it is smaller than the sum of its proper divisors (205226944).

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

125116160 is a wasteful number, since it uses less digits than its factorization.

125116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 125116160 is about 11185.5335143211. The cubic root of 125116160 is about 500.1548320491.

Adding to 125116160 its reverse (61611521), we get a palindrome (186727681).

The spelling of 125116160 in words is "one hundred twenty-five million, one hundred sixteen thousand, one hundred sixty".