126144306 has 48 divisors (see below), whose sum is σ = 290571840. Its totient is φ = 39437280.

The previous prime is 126144289. The next prime is 126144323. The reversal of 126144306 is 603441621.

126144306 is a `hidden beast` number, since 1 + 2 + 614 + 43 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (126144289) and next prime (126144323).

It is a self number, because there is not a number n which added to its sum of digits gives 126144306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33436 + ... + 37016.

It is an arithmetic number, because the mean of its divisors is an integer number (6053580).

Almost surely, 2^126144306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126144306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145285920).

126144306 is an abundant number, since it is smaller than the sum of its proper divisors (164427534).

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

126144306 is a wasteful number, since it uses less digits than its factorization.

126144306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 126144306 is about 11231.3982210587. The cubic root of 126144306 is about 501.5211090949.

Adding to 126144306 its reverse (603441621), we get a palindrome (729585927).

The spelling of 126144306 in words is "one hundred twenty-six million, one hundred forty-four thousand, three hundred six".