126342720 has 224 divisors, whose sum is σ = 509625600. Its totient is φ = 28864512.

The previous prime is 126342707. The next prime is 126342739. The reversal of 126342720 is 27243621.

126342720 is a `hidden beast` number, since 1 + 2 + 634 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 59436 + ... + 61524.

Almost surely, 2^126342720 is an apocalyptic number.

126342720 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 126342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254812800).

126342720 is an abundant number, since it is smaller than the sum of its proper divisors (383282880).

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

126342720 is a wasteful number, since it uses less digits than its factorization.

126342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 126342720 is about 11240.2277556996. The cubic root of 126342720 is about 501.7839210155.

Subtracting from 126342720 its reverse (27243621), we obtain a palindrome (99099099).

The spelling of 126342720 in words is "one hundred twenty-six million, three hundred forty-two thousand, seven hundred twenty".