138703301313408 has 448 divisors, whose sum is σ = 460556300561280. Its totient is φ = 41301219962880.

The previous prime is 138703301313341. The next prime is 138703301313433. The reversal of 138703301313408 is 804313103307831.

138703301313408 is a `hidden beast` number, since 1 + 3 + 87 + 0 + 3 + 30 + 131 + 3 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 35760510 + ... + 39448962.

It is an arithmetic number, because the mean of its divisors is an integer number (1028027456610).

Almost surely, 2^{138703301313408} is an apocalyptic number.

138703301313408 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 138703301313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230278150280640).

138703301313408 is an abundant number, since it is smaller than the sum of its proper divisors (321852999247872).

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

138703301313408 is an equidigital number, since it uses as much as digits as its factorization.

138703301313408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688529 (or 3688502 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 138703301313408 in words is "one hundred thirty-eight trillion, seven hundred three billion, three hundred one million, three hundred thirteen thousand, four hundred eight".