139838337999360 has 3840 divisors, whose sum is σ = 688243549593600. Its totient is φ = 26816286228480.

The previous prime is 139838337999343. The next prime is 139838337999361. The reversal of 139838337999360 is 63999733838931.

139838337999360 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 383 + 3 + 7 + 99 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 139838337999360.

It is not an unprimeable number, because it can be changed into a prime (139838337999361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30512399629 + ... + 30512404211.

It is an arithmetic number, because the mean of its divisors is an integer number (179230091040).

Almost surely, 2^{139838337999360} is an apocalyptic number.

139838337999360 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 139838337999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344121774796800).

139838337999360 is an abundant number, since it is smaller than the sum of its proper divisors (548405211594240).

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

139838337999360 is an equidigital number, since it uses as much as digits as its factorization.

139838337999360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 4285540224, while the sum is 81.

The spelling of 139838337999360 in words is "one hundred thirty-nine trillion, eight hundred thirty-eight billion, three hundred thirty-seven million, nine hundred ninety-nine thousand, three hundred sixty".