126236016 has 80 divisors (see below), whose sum is σ = 383680800. Its totient is φ = 39601152.

The previous prime is 126236009. The next prime is 126236027. The reversal of 126236016 is 610632621.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251 + ... + 15938.

It is an arithmetic number, because the mean of its divisors is an integer number (4796010).

Almost surely, 2^126236016 is an apocalyptic number.

126236016 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 126236016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191840400).

126236016 is an abundant number, since it is smaller than the sum of its proper divisors (257444784).

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

126236016 is a wasteful number, since it uses less digits than its factorization.

126236016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17223 (or 17211 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 126236016 is about 11235.4802300569. The cubic root of 126236016 is about 501.6426190293.

Adding to 126236016 its reverse (610632621), we get a palindrome (736868637).

The spelling of 126236016 in words is "one hundred twenty-six million, two hundred thirty-six thousand, sixteen".