126489600 has 330 divisors, whose sum is σ = 476054414. Its totient is φ = 33177600.

The previous prime is 126489599. The next prime is 126489607. The reversal of 126489600 is 6984621.

126489600 is a `hidden beast` number, since 1 + 2 + 6 + 48 + 9 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 126157824 = 576^2 + 11232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126489607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2073570 + ... + 2073630.

Almost surely, 2^126489600 is an apocalyptic number.

126489600 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 126489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238027207).

126489600 is an abundant number, since it is smaller than the sum of its proper divisors (349564814).

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

126489600 is an equidigital number, since it uses as much as digits as its factorization.

126489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 126489600 is about 11246.7595333056. The cubic root of 126489600 is about 501.9782957024.

The spelling of 126489600 in words is "one hundred twenty-six million, four hundred eighty-nine thousand, six hundred".