138701830301160 has 2048 divisors, whose sum is σ = 554886601113600. Its totient is φ = 26999267328000.

The previous prime is 138701830301159. The next prime is 138701830301161. The reversal of 138701830301160 is 61103038107831.

It is an interprime number because it is at equal distance from previous prime (138701830301159) and next prime (138701830301161).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (138701830301161) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 126437401732 + ... + 126437402828.

It is an arithmetic number, because the mean of its divisors is an integer number (270940723200).

Almost surely, 2^{138701830301160} is an apocalyptic number.

138701830301160 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 138701830301160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277443300556800).

138701830301160 is an abundant number, since it is smaller than the sum of its proper divisors (416184770812440).

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

138701830301160 is a wasteful number, since it uses less digits than its factorization.

138701830301160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

Adding to 138701830301160 its reverse (61103038107831), we get a palindrome (199804868408991).

The spelling of 138701830301160 in words is "one hundred thirty-eight trillion, seven hundred one billion, eight hundred thirty million, three hundred one thousand, one hundred sixty".