138134059008 has 384 divisors, whose sum is σ = 427635936000. Its totient is φ = 39211499520.

The previous prime is 138134059003. The next prime is 138134059061. The reversal of 138134059008 is 800950431831.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138134059003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124556758 + ... + 124557866.

It is an arithmetic number, because the mean of its divisors is an integer number (1113635250).

Almost surely, 2^138134059008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138134059008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213817968000).

138134059008 is an abundant number, since it is smaller than the sum of its proper divisors (289501876992).

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

138134059008 is a wasteful number, since it uses less digits than its factorization.

138134059008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 138134059008 in words is "one hundred thirty-eight billion, one hundred thirty-four million, fifty-nine thousand, eight".