138792043296 has 288 divisors, whose sum is σ = 434058730560. Its totient is φ = 43502800896.

The previous prime is 138792043223. The next prime is 138792043303. The reversal of 138792043296 is 692340297831.

138792043296 is a `hidden beast` number, since 1 + 38 + 7 + 92 + 0 + 432 + 96 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 20237500 + ... + 20244356.

It is an arithmetic number, because the mean of its divisors is an integer number (1507148370).

Almost surely, 2^138792043296 is an apocalyptic number.

138792043296 is a gapful number since it is divisible by the number (16) 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 138792043296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217029365280).

138792043296 is an abundant number, since it is smaller than the sum of its proper divisors (295266687264).

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

138792043296 is a wasteful number, since it uses less digits than its factorization.

138792043296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 138792043296 in words is "one hundred thirty-eight billion, seven hundred ninety-two million, forty-three thousand, two hundred ninety-six".