126081539584 has 640 divisors, whose sum is σ = 371226240000. Its totient is φ = 41122529280.

The previous prime is 126081539513. The next prime is 126081539629. The reversal of 126081539584 is 485935180621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 63 ways as a sum of consecutive naturals, for example, 252668167 + ... + 252668665.

It is an arithmetic number, because the mean of its divisors is an integer number (580041000).

Almost surely, 2^126081539584 is an apocalyptic number.

126081539584 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 126081539584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120000).

126081539584 is an abundant number, since it is smaller than the sum of its proper divisors (245144700416).

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

126081539584 is a wasteful number, since it uses less digits than its factorization.

126081539584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 126081539584 in words is "one hundred twenty-six billion, eighty-one million, five hundred thirty-nine thousand, five hundred eighty-four".