138128514420 has 192 divisors, whose sum is σ = 421793568000. Its totient is φ = 33570729984.

The previous prime is 138128514413. The next prime is 138128514421. The reversal of 138128514420 is 24415821831.

It is a super-2 number, since 2×138128514420² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138128514421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85316371 + ... + 85317989.

It is an arithmetic number, because the mean of its divisors is an integer number (2196841500).

Almost surely, 2^138128514420 is an apocalyptic number.

138128514420 is a gapful number since it is divisible by the number (10) 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 138128514420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210896784000).

138128514420 is an abundant number, since it is smaller than the sum of its proper divisors (283665053580).

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

138128514420 is a wasteful number, since it uses less digits than its factorization.

138128514420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 138128514420 in words is "one hundred thirty-eight billion, one hundred twenty-eight million, five hundred fourteen thousand, four hundred twenty".