138173091840 has 1040 divisors, whose sum is σ = 577349908608. Its totient is φ = 30958682112.

The previous prime is 138173091809. The next prime is 138173091853. The reversal of 138173091840 is 48190371831.

138173091840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 847687599 + ... + 847687761.

Almost surely, 2^138173091840 is an apocalyptic number.

138173091840 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 138173091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288674954304).

138173091840 is an abundant number, since it is smaller than the sum of its proper divisors (439176816768).

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

138173091840 is an equidigital number, since it uses as much as digits as its factorization.

138173091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 138173091840 in words is "one hundred thirty-eight billion, one hundred seventy-three million, ninety-one thousand, eight hundred forty".