126216144 has 80 divisors (see below), whose sum is σ = 366861440. Its totient is φ = 42060384.

The previous prime is 126216131. The next prime is 126216169. The reversal of 126216144 is 441612621.

126216144 is a `hidden beast` number, since 1 + 26 + 21 + 614 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33189 + ... + 36795.

It is an arithmetic number, because the mean of its divisors is an integer number (4585768).

Almost surely, 2^126216144 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 126216144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183430720).

126216144 is an abundant number, since it is smaller than the sum of its proper divisors (240645296).

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

126216144 is an frugal number, since it uses more digits than its factorization.

126216144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3612 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 126216144 is about 11234.5958538792. The cubic root of 126216144 is about 501.6162948851.

Adding to 126216144 its reverse (441612621), we get a palindrome (567828765).

The spelling of 126216144 in words is "one hundred twenty-six million, two hundred sixteen thousand, one hundred forty-four".