126548548549600 has 144 divisors (see below), whose sum is σ = 314778151658880. Its totient is φ = 49662361548800.

The previous prime is 126548548549537. The next prime is 126548548549601. The reversal of 126548548549600 is 6945845845621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126548548549601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1534457166 + ... + 1534539634.

It is an arithmetic number, because the mean of its divisors is an integer number (2185959386520).

Almost surely, 2^{126548548549600} is an apocalyptic number.

126548548549600 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 126548548549600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157389075829440).

126548548549600 is an abundant number, since it is smaller than the sum of its proper divisors (188229603109280).

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

126548548549600 is a wasteful number, since it uses less digits than its factorization.

126548548549600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118733 (or 118720 counting only the distinct ones).

The product of its (nonzero) digits is 331776000, while the sum is 67.

The spelling of 126548548549600 in words is "one hundred twenty-six trillion, five hundred forty-eight billion, five hundred forty-eight million, five hundred forty-nine thousand, six hundred".