138094316160 has 192 divisors, whose sum is σ = 454838963040. Its totient is φ = 35636766720.

The previous prime is 138094316147. The next prime is 138094316161. The reversal of 138094316160 is 61613490831.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×138094316160³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (138094316161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1807699 + ... + 1882541.

Almost surely, 2^138094316160 is an apocalyptic number.

138094316160 is a gapful number since it is divisible by the number (10) 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 138094316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227419481520).

138094316160 is an abundant number, since it is smaller than the sum of its proper divisors (316744646880).

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

138094316160 is an equidigital number, since it uses as much as digits as its factorization.

138094316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74927 (or 74884 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 138094316160 in words is "one hundred thirty-eight billion, ninety-four million, three hundred sixteen thousand, one hundred sixty".