139713880320 has 1296 divisors, whose sum is σ = 595421124480. Its totient is φ = 31269224448.

The previous prime is 139713880289. The next prime is 139713880321. The reversal of 139713880320 is 23088317931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (139713880321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1356445389 + ... + 1356445491.

It is an arithmetic number, because the mean of its divisors is an integer number (459429880).

Almost surely, 2^139713880320 is an apocalyptic number.

139713880320 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 139713880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297710562240).

139713880320 is an abundant number, since it is smaller than the sum of its proper divisors (455707244160).

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

139713880320 is an equidigital number, since it uses as much as digits as its factorization.

139713880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 139713880320 in words is "one hundred thirty-nine billion, seven hundred thirteen million, eight hundred eighty thousand, three hundred twenty".