125730144 has 288 divisors, whose sum is σ = 418279680. Its totient is φ = 36951552.

The previous prime is 125730133. The next prime is 125730161. The reversal of 125730144 is 441037521.

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

It is a super-2 number, since 2×125730144² = 31616138220521472, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3398094 + ... + 3398130.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^125730144 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 125730144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

125730144 is an abundant number, since it is smaller than the sum of its proper divisors (292549536).

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

125730144 is a wasteful number, since it uses less digits than its factorization.

125730144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 125730144 is about 11212.9453757699. The cubic root of 125730144 is about 500.9716359574.

Adding to 125730144 its reverse (441037521), we get a palindrome (566767665).

The spelling of 125730144 in words is "one hundred twenty-five million, seven hundred thirty thousand, one hundred forty-four".