138195176276080 has 640 divisors, whose sum is σ = 455586197760000. Its totient is φ = 38406352158720.

The previous prime is 138195176276041. The next prime is 138195176276107. The reversal of 138195176276080 is 80672671591831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96785586 + ... + 98203054.

It is an arithmetic number, because the mean of its divisors is an integer number (711853434000).

Almost surely, 2^{138195176276080} is an apocalyptic number.

138195176276080 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 138195176276080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227793098880000).

138195176276080 is an abundant number, since it is smaller than the sum of its proper divisors (317391021483920).

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

138195176276080 is a wasteful number, since it uses less digits than its factorization.

138195176276080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417550 (or 1417530 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 64.

The spelling of 138195176276080 in words is "one hundred thirty-eight trillion, one hundred ninety-five billion, one hundred seventy-six million, two hundred seventy-six thousand, eighty".