126126336 has 144 divisors (see below), whose sum is σ = 397353600. Its totient is φ = 34750464.

The previous prime is 126126331. The next prime is 126126391. The reversal of 126126336 is 633621621.

It is a super-3 number, since 3×126126336³ (a number of 25 digits) contains 333 as substring.

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

Its product of digits (7776) is a multiple of the sum of its prime factors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126126331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155500 + ... + 156308.

It is an arithmetic number, because the mean of its divisors is an integer number (2759400).

Almost surely, 2^126126336 is an apocalyptic number.

126126336 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 126126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198676800).

126126336 is an abundant number, since it is smaller than the sum of its proper divisors (271227264).

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

126126336 is an equidigital number, since it uses as much as digits as its factorization.

126126336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 850 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 126126336 is about 11230.5982031235. The cubic root of 126126336 is about 501.4972930845.

Adding to 126126336 its reverse (633621621), we get a palindrome (759747957).

The spelling of 126126336 in words is "one hundred twenty-six million, one hundred twenty-six thousand, three hundred thirty-six".