125888160 has 96 divisors (see below), whose sum is σ = 399228480. Its totient is φ = 33343488.

The previous prime is 125888153. The next prime is 125888207. The reversal of 125888160 is 61888521.

It is a tau number, because it is divible by the number of its divisors (96).

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, 77436 + ... + 79044.

It is an arithmetic number, because the mean of its divisors is an integer number (4158630).

Almost surely, 2^125888160 is an apocalyptic number.

125888160 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 125888160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199614240).

125888160 is an abundant number, since it is smaller than the sum of its proper divisors (273340320).

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

125888160 is a wasteful number, since it uses less digits than its factorization.

125888160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 125888160 is about 11219.9893048077. The cubic root of 125888160 is about 501.1814196300.

The spelling of 125888160 in words is "one hundred twenty-five million, eight hundred eighty-eight thousand, one hundred sixty".