138121020180 has 672 divisors, whose sum is σ = 527638422528. Its totient is φ = 29897164800.

The previous prime is 138121020161. The next prime is 138121020203. The reversal of 138121020180 is 81020121831.

138121020180 is a `hidden beast` number, since 1 + 381 + 2 + 1 + 0 + 201 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 64632072 + ... + 64634208.

It is an arithmetic number, because the mean of its divisors is an integer number (785176224).

Almost surely, 2^138121020180 is an apocalyptic number.

138121020180 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 138121020180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263819211264).

138121020180 is an abundant number, since it is smaller than the sum of its proper divisors (389517402348).

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

138121020180 is a wasteful number, since it uses less digits than its factorization.

138121020180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 138121020180 in words is "one hundred thirty-eight billion, one hundred twenty-one million, twenty thousand, one hundred eighty".