126432000 has 216 divisors, whose sum is σ = 455975520. Its totient is φ = 33638400.

The previous prime is 126431999. The next prime is 126432011. The reversal of 126432000 is 234621.

It is a happy number.

126432000 is a `hidden beast` number, since 1 + 2 + 643 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287781 + ... + 288219.

Almost surely, 2^126432000 is an apocalyptic number.

126432000 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 126432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227987760).

126432000 is an abundant number, since it is smaller than the sum of its proper divisors (329543520).

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

126432000 is an equidigital number, since it uses as much as digits as its factorization.

126432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 126432000 is about 11244.1985041176. The cubic root of 126432000 is about 501.9020882782.

Adding to 126432000 its reverse (234621), we get a palindrome (126666621).

The spelling of 126432000 in words is "one hundred twenty-six million, four hundred thirty-two thousand".