126345216 has 112 divisors (see below), whose sum is σ = 346795344. Its totient is φ = 40894464.

The previous prime is 126345211. The next prime is 126345217. The reversal of 126345216 is 612543621.

It is a super-2 number, since 2×126345216² = 31926227212173312, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126345211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1302480 + ... + 1302576.

It is an arithmetic number, because the mean of its divisors is an integer number (3096387).

Almost surely, 2^126345216 is an apocalyptic number.

126345216 is a gapful number since it is divisible by the number (16) 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 126345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173397672).

126345216 is an abundant number, since it is smaller than the sum of its proper divisors (220450128).

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

126345216 is an frugal number, since it uses more digits than its factorization.

126345216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 126345216 is about 11240.3387849299. The cubic root of 126345216 is about 501.7872253727.

Adding to 126345216 its reverse (612543621), we get a palindrome (738888837).

The spelling of 126345216 in words is "one hundred twenty-six million, three hundred forty-five thousand, two hundred sixteen".