126066544128 has 400 divisors, whose sum is σ = 440073321600. Its totient is φ = 35177877504.

The previous prime is 126066544127. The next prime is 126066544129. The reversal of 126066544128 is 821445660621.

It is a happy number.

126066544128 is a `hidden beast` number, since 1 + 26 + 0 + 66 + 544 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (126066544127) and next prime (126066544129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126066544127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12478023 + ... + 12488121.

It is an arithmetic number, because the mean of its divisors is an integer number (1100183304).

Almost surely, 2^126066544128 is an apocalyptic number.

126066544128 is a gapful number since it is divisible by the number (18) 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 126066544128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220036660800).

126066544128 is an abundant number, since it is smaller than the sum of its proper divisors (314006777472).

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

126066544128 is an equidigital number, since it uses as much as digits as its factorization.

126066544128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10179 (or 10154 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 126066544128 in words is "one hundred twenty-six billion, sixty-six million, five hundred forty-four thousand, one hundred twenty-eight".