125760096 has 288 divisors, whose sum is σ = 458535168. Its totient is φ = 31749120.

The previous prime is 125760091. The next prime is 125760163. The reversal of 125760096 is 690067521.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 125760096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125760091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175275 + ... + 1175381.

It is an arithmetic number, because the mean of its divisors is an integer number (1592136).

Almost surely, 2^125760096 is an apocalyptic number.

125760096 is a gapful number since it is divisible by the number (16) 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 125760096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229267584).

125760096 is an abundant number, since it is smaller than the sum of its proper divisors (332775072).

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

125760096 is a wasteful number, since it uses less digits than its factorization.

125760096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 125760096 is about 11214.2808953584. The cubic root of 125760096 is about 501.0114140371.

The spelling of 125760096 in words is "one hundred twenty-five million, seven hundred sixty thousand, ninety-six".