138130126848 has 336 divisors, whose sum is σ = 473292696240. Its totient is φ = 39462764544.

The previous prime is 138130126831. The next prime is 138130126853. The reversal of 138130126848 is 848621031831.

138130126848 is a `hidden beast` number, since 1 + 3 + 81 + 301 + 268 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10444336 + ... + 10457552.

It is an arithmetic number, because the mean of its divisors is an integer number (1408609215).

Almost surely, 2^138130126848 is an apocalyptic number.

138130126848 is a gapful number since it is divisible by the number (18) 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 138130126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236646348120).

138130126848 is an abundant number, since it is smaller than the sum of its proper divisors (335162569392).

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

138130126848 is an frugal number, since it uses more digits than its factorization.

138130126848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13264 (or 13229 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 138130126848 in words is "one hundred thirty-eight billion, one hundred thirty million, one hundred twenty-six thousand, eight hundred forty-eight".