138304321428 has 384 divisors, whose sum is σ = 441423360000. Its totient is φ = 33357381120.

The previous prime is 138304321411. The next prime is 138304321481. The reversal of 138304321428 is 824123403831.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 29480563 + ... + 29485253.

It is an arithmetic number, because the mean of its divisors is an integer number (1149540000).

Almost surely, 2^138304321428 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 138304321428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220711680000).

138304321428 is an abundant number, since it is smaller than the sum of its proper divisors (303119038572).

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

138304321428 is a wasteful number, since it uses less digits than its factorization.

138304321428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 138304321428 in words is "one hundred thirty-eight billion, three hundred four million, three hundred twenty-one thousand, four hundred twenty-eight".