138313175616 has 672 divisors, whose sum is σ = 518372628480. Its totient is φ = 35419507200.

The previous prime is 138313175591. The next prime is 138313175699. The reversal of 138313175616 is 616571313831.

138313175616 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 13 + 17 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1948072861 + ... + 1948072931.

It is an arithmetic number, because the mean of its divisors is an integer number (771387840).

Almost surely, 2^138313175616 is an apocalyptic number.

138313175616 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 138313175616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259186314240).

138313175616 is an abundant number, since it is smaller than the sum of its proper divisors (380059452864).

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

138313175616 is an frugal number, since it uses more digits than its factorization.

138313175616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 94 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 138313175616 in words is "one hundred thirty-eight billion, three hundred thirteen million, one hundred seventy-five thousand, six hundred sixteen".