126036000 has 240 divisors, whose sum is σ = 463783320. Its totient is φ = 33523200.

The previous prime is 126035993. The next prime is 126036013. The reversal of 126036000 is 630621.

It is a happy number.

126036000 is a `hidden beast` number, since 1 + 2 + 60 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22240656 + 103795344 = 4716^2 + 10188^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323806 + ... + 324194.

Almost surely, 2^126036000 is an apocalyptic number.

126036000 is a gapful number since it is divisible by the number (10) 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 126036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231891660).

126036000 is an abundant number, since it is smaller than the sum of its proper divisors (337747320).

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

126036000 is an equidigital number, since it uses as much as digits as its factorization.

126036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 126036000 is about 11226.5756132491. The cubic root of 126036000 is about 501.3775346446.

Adding to 126036000 its reverse (630621), we get a palindrome (126666621).

The spelling of 126036000 in words is "one hundred twenty-six million, thirty-six thousand".