138232728192 has 256 divisors, whose sum is σ = 402247036800. Its totient is φ = 41805938688.

The previous prime is 138232728163. The next prime is 138232728259. The reversal of 138232728192 is 291827232831.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 73176784 + ... + 73178672.

Almost surely, 2^138232728192 is an apocalyptic number.

138232728192 is a gapful number since it is divisible by the number (12) 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 138232728192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201123518400).

138232728192 is an abundant number, since it is smaller than the sum of its proper divisors (264014308608).

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

138232728192 is a wasteful number, since it uses less digits than its factorization.

138232728192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2151 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The spelling of 138232728192 in words is "one hundred thirty-eight billion, two hundred thirty-two million, seven hundred twenty-eight thousand, one hundred ninety-two".