126813180249504 has 288 divisors, whose sum is σ = 425456863663104. Its totient is φ = 35061978193920.

The previous prime is 126813180249491. The next prime is 126813180249521. The reversal of 126813180249504 is 405942081318621.

126813180249504 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 1 + 31 + 80 + 24 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2426881042 + ... + 2426933294.

It is an arithmetic number, because the mean of its divisors is an integer number (1477280776608).

Almost surely, 2^{126813180249504} is an apocalyptic number.

126813180249504 is a gapful number since it is divisible by the number (14) 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 126813180249504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212728431831552).

126813180249504 is an abundant number, since it is smaller than the sum of its proper divisors (298643683413600).

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

126813180249504 is a wasteful number, since it uses less digits than its factorization.

126813180249504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91140 (or 91129 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 126813180249504 in words is "one hundred twenty-six trillion, eight hundred thirteen billion, one hundred eighty million, two hundred forty-nine thousand, five hundred four".