126548101696 has 63 divisors (see below), whose sum is σ = 256251804361. Its totient is φ = 62006207744.

The previous prime is 126548101651. The next prime is 126548101703. The reversal of 126548101696 is 696101845621.

It is a happy number.

The square root of 126548101696 is 355736.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 91228161600 + 35319940096 = 302040^2 + 187936^2 .

It is a super-2 number, since 2×126548101696² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 150831645 + ... + 150832483.

Almost surely, 2^126548101696 is an apocalyptic number.

126548101696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

126548101696 is the 355736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126548101696

126548101696 is an abundant number, since it is smaller than the sum of its proper divisors (129703702665).

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

126548101696 is an frugal number, since it uses more digits than its factorization.

126548101696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

Multiplying 126548101696 by its sum of digits (49), we get a square (6200856983104 = 2490152²).

The spelling of 126548101696 in words is "one hundred twenty-six billion, five hundred forty-eight million, one hundred one thousand, six hundred ninety-six".