126305144 has 48 divisors (see below), whose sum is σ = 287485200. Its totient is φ = 51773568.

The previous prime is 126305143. The next prime is 126305149. The reversal of 126305144 is 441503621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126305143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2012 + ... + 16020.

It is an arithmetic number, because the mean of its divisors is an integer number (5989275).

Almost surely, 2^126305144 is an apocalyptic number.

126305144 is a gapful number since it is divisible by the number (14) 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 126305144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143742600).

126305144 is an abundant number, since it is smaller than the sum of its proper divisors (161180056).

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

126305144 is a wasteful number, since it uses less digits than its factorization.

126305144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14052 (or 14041 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 126305144 is about 11238.5561350202. The cubic root of 126305144 is about 501.7341703527.

Adding to 126305144 its reverse (441503621), we get a palindrome (567808765).

The spelling of 126305144 in words is "one hundred twenty-six million, three hundred five thousand, one hundred forty-four".