138607461472 has 96 divisors (see below), whose sum is σ = 284706848160. Its totient is φ = 66366996480.

The previous prime is 138607461463. The next prime is 138607461511. The reversal of 138607461472 is 274164706831.

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 15 ways as a sum of consecutive naturals, for example, 89250648 + ... + 89252200.

It is an arithmetic number, because the mean of its divisors is an integer number (2965696335).

Almost surely, 2^138607461472 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 138607461472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142353424080).

138607461472 is an abundant number, since it is smaller than the sum of its proper divisors (146099386688).

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

138607461472 is a wasteful number, since it uses less digits than its factorization.

138607461472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 138607461472 in words is "one hundred thirty-eight billion, six hundred seven million, four hundred sixty-one thousand, four hundred seventy-two".