126538507104 has 96 divisors (see below), whose sum is σ = 333955125504. Its totient is φ = 41952529920.

The previous prime is 126538507093. The next prime is 126538507133. The reversal of 126538507104 is 401705835621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17442742 + ... + 17449994.

It is an arithmetic number, because the mean of its divisors is an integer number (3478699224).

Almost surely, 2^126538507104 is an apocalyptic number.

It is an amenable number.

126538507104 is an abundant number, since it is smaller than the sum of its proper divisors (207416618400).

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

126538507104 is a wasteful number, since it uses less digits than its factorization.

126538507104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8220 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 126538507104 in words is "one hundred twenty-six billion, five hundred thirty-eight million, five hundred seven thousand, one hundred four".