126273600 has 336 divisors, whose sum is σ = 478739200. Its totient is φ = 32348160.

The previous prime is 126273551. The next prime is 126273619. The reversal of 126273600 is 6372621.

It is a happy number.

126273600 is a `hidden beast` number, since 1 + 2 + 627 + 36 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1598361 + ... + 1598439.

Almost surely, 2^126273600 is an apocalyptic number.

126273600 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 126273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239369600).

126273600 is an abundant number, since it is smaller than the sum of its proper divisors (352465600).

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

126273600 is a wasteful number, since it uses less digits than its factorization.

126273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 126273600 is about 11237.1526642651. The cubic root of 126273600 is about 501.6923984452.

The spelling of 126273600 in words is "one hundred twenty-six million, two hundred seventy-three thousand, six hundred".