138310720128 has 256 divisors, whose sum is σ = 469891968000. Its totient is φ = 39232097280.

The previous prime is 138310720109. The next prime is 138310720151. The reversal of 138310720128 is 821027013831.

138310720128 is a `hidden beast` number, since 138 + 310 + 7 + 201 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138310720092 and 138310720101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3342123 + ... + 3383253.

It is an arithmetic number, because the mean of its divisors is an integer number (1835515500).

Almost surely, 2^138310720128 is an apocalyptic number.

138310720128 is a gapful number since it is divisible by the number (18) 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 138310720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234945984000).

138310720128 is an abundant number, since it is smaller than the sum of its proper divisors (331581247872).

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

138310720128 is a wasteful number, since it uses less digits than its factorization.

138310720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41300 (or 41282 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 138310720128 its reverse (821027013831), we get a palindrome (959337733959).

The spelling of 138310720128 in words is "one hundred thirty-eight billion, three hundred ten million, seven hundred twenty thousand, one hundred twenty-eight".