138195173376 has 408 divisors, whose sum is σ = 437976367920. Its totient is φ = 41731227648.

The previous prime is 138195173371. The next prime is 138195173383. The reversal of 138195173376 is 673371591831.

138195173376 is a `hidden beast` number, since 1 + 381 + 95 + 173 + 3 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (138195173371) 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, 513736570 + ... + 513736838.

It is an arithmetic number, because the mean of its divisors is an integer number (1073471490).

Almost surely, 2^138195173376 is an apocalyptic number.

138195173376 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 138195173376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218988183960).

138195173376 is an abundant number, since it is smaller than the sum of its proper divisors (299781194544).

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

138195173376 is an equidigital number, since it uses as much as digits as its factorization.

138195173376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 354 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 138195173376 in words is "one hundred thirty-eight billion, one hundred ninety-five million, one hundred seventy-three thousand, three hundred seventy-six".