138264445140 has 192 divisors, whose sum is σ = 418433783040. Its totient is φ = 33998192640.

The previous prime is 138264445139. The next prime is 138264445157. The reversal of 138264445140 is 41544462831.

It is a junction number, because it is equal to n+sod(n) for n = 138264445092 and 138264445101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21356944 + ... + 21363416.

It is an arithmetic number, because the mean of its divisors is an integer number (2179342620).

Almost surely, 2^138264445140 is an apocalyptic number.

138264445140 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 138264445140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209216891520).

138264445140 is an abundant number, since it is smaller than the sum of its proper divisors (280169337900).

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

138264445140 is a wasteful number, since it uses less digits than its factorization.

138264445140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7002 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 138264445140 in words is "one hundred thirty-eight billion, two hundred sixty-four million, four hundred forty-five thousand, one hundred forty".