126147006720 has 1152 divisors, whose sum is σ = 557001446400. Its totient is φ = 26372210688.

The previous prime is 126147006697. The next prime is 126147006721. The reversal of 126147006720 is 27600741621.

126147006720 is a `hidden beast` number, since 12 + 614 + 7 + 0 + 0 + 6 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (126147006721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152167266 + ... + 152168094.

It is an arithmetic number, because the mean of its divisors is an integer number (483508200).

Almost surely, 2^126147006720 is an apocalyptic number.

126147006720 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 126147006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278500723200).

126147006720 is an abundant number, since it is smaller than the sum of its proper divisors (430854439680).

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

126147006720 is a wasteful number, since it uses less digits than its factorization.

126147006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 126147006720 in words is "one hundred twenty-six billion, one hundred forty-seven million, six thousand, seven hundred twenty".