138703482528 has 288 divisors, whose sum is σ = 429056647488. Its totient is φ = 38866083840.

The previous prime is 138703482499. The next prime is 138703482539. The reversal of 138703482528 is 825284307831.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 47 ways as a sum of consecutive naturals, for example, 20385175 + ... + 20391977.

It is an arithmetic number, because the mean of its divisors is an integer number (1489780026).

Almost surely, 2^138703482528 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 138703482528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214528323744).

138703482528 is an abundant number, since it is smaller than the sum of its proper divisors (290353164960).

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

138703482528 is a wasteful number, since it uses less digits than its factorization.

138703482528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6908 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 138703482528 in words is "one hundred thirty-eight billion, seven hundred three million, four hundred eighty-two thousand, five hundred twenty-eight".