125660160 has 264 divisors, whose sum is σ = 456006096. Its totient is φ = 33177600.

The previous prime is 125660159. The next prime is 125660173. The reversal of 125660160 is 61066521.

It is a happy number.

125660160 is a `hidden beast` number, since 1 + 2 + 56 + 601 + 6 + 0 = 666.

It is a super-2 number, since 2×125660160² = 31580951622451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 1244110 + ... + 1244210.

Almost surely, 2^125660160 is an apocalyptic number.

125660160 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 125660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228003048).

125660160 is an abundant number, since it is smaller than the sum of its proper divisors (330345936).

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

125660160 is an equidigital number, since it uses as much as digits as its factorization.

125660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 125660160 is about 11209.8242626725. The cubic root of 125660160 is about 500.8786683128.

It can be divided in two parts, 1256 and 60160, that added together give a palindrome (61416).

The spelling of 125660160 in words is "one hundred twenty-five million, six hundred sixty thousand, one hundred sixty".