138689348512 has 192 divisors, whose sum is σ = 342555816960. Its totient is φ = 54370713600.

The previous prime is 138689348491. The next prime is 138689348513. The reversal of 138689348512 is 215843986831.

It is a super-2 number, since 2×138689348512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (138689348513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4096968 + ... + 4130680.

It is an arithmetic number, because the mean of its divisors is an integer number (1784144880).

Almost surely, 2^138689348512 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 138689348512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171277908480).

138689348512 is an abundant number, since it is smaller than the sum of its proper divisors (203866468448).

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

138689348512 is a wasteful number, since it uses less digits than its factorization.

138689348512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33807 (or 33799 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 58.

The spelling of 138689348512 in words is "one hundred thirty-eight billion, six hundred eighty-nine million, three hundred forty-eight thousand, five hundred twelve".