126480000 has 320 divisors, whose sum is σ = 458853120. Its totient is φ = 30720000.

The previous prime is 126479999. The next prime is 126480001. The reversal of 126480000 is 84621.

It is an interprime number because it is at equal distance from previous prime (126479999) and next prime (126480001).

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (126480001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 4079985 + ... + 4080015.

It is an arithmetic number, because the mean of its divisors is an integer number (1433916).

Almost surely, 2^126480000 is an apocalyptic number.

126480000 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 126480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229426560).

126480000 is an abundant number, since it is smaller than the sum of its proper divisors (332373120).

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

126480000 is an equidigital number, since it uses as much as digits as its factorization.

126480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 126480000 is about 11246.3327356076. The cubic root of 126480000 is about 501.9655960719.

The spelling of 126480000 in words is "one hundred twenty-six million, four hundred eighty thousand".