138307000182 has 128 divisors (see below), whose sum is σ = 315406586880. Its totient is φ = 40111441920.

The previous prime is 138307000121. The next prime is 138307000231. The reversal of 138307000182 is 281000703831.

138307000182 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52848138 + ... + 52850754.

It is an arithmetic number, because the mean of its divisors is an integer number (2464113960).

Almost surely, 2^138307000182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138307000182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157703293440).

138307000182 is an abundant number, since it is smaller than the sum of its proper divisors (177099586698).

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

138307000182 is a wasteful number, since it uses less digits than its factorization.

138307000182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078.

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 138307000182 in words is "one hundred thirty-eight billion, three hundred seven million, one hundred eighty-two", and thus it is an aban number.