125148288 has 128 divisors (see below), whose sum is σ = 370872000. Its totient is φ = 37158912.

The previous prime is 125148281. The next prime is 125148301. The reversal of 125148288 is 882841521.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (125148281) by changing a digit.

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, 123528 + ... + 124536.

Almost surely, 2^125148288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125148288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185436000).

125148288 is an abundant number, since it is smaller than the sum of its proper divisors (245723712).

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

125148288 is a wasteful number, since it uses less digits than its factorization.

125148288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1050 counting only the distinct ones).

The product of its digits is 40960, while the sum is 39.

The square root of 125148288 is about 11186.9695628441. The cubic root of 125148288 is about 500.1976392005.

It can be divided in two parts, 12514 and 8288, that added together give a palindrome (20802).

The spelling of 125148288 in words is "one hundred twenty-five million, one hundred forty-eight thousand, two hundred eighty-eight".