138734315184 has 80 divisors (see below), whose sum is σ = 364315210112. Its totient is φ = 45486987264.

The previous prime is 138734315147. The next prime is 138734315201. The reversal of 138734315184 is 481513437831.

138734315184 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667527 + ... + 850329.

Almost surely, 2^138734315184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138734315184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182157605056).

138734315184 is an abundant number, since it is smaller than the sum of its proper divisors (225580894928).

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

138734315184 is a wasteful number, since it uses less digits than its factorization.

138734315184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183074 (or 183068 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 138734315184 in words is "one hundred thirty-eight billion, seven hundred thirty-four million, three hundred fifteen thousand, one hundred eighty-four".