138779384280 has 128 divisors (see below), whose sum is σ = 438389280000. Its totient is φ = 35048968704.

The previous prime is 138779384267. The next prime is 138779384287. The reversal of 138779384280 is 82483977831.

138779384280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138779384280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138779384287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9087291 + ... + 9102549.

It is an arithmetic number, because the mean of its divisors is an integer number (3424916250).

Almost surely, 2^138779384280 is an apocalyptic number.

138779384280 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 138779384280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219194640000).

138779384280 is an abundant number, since it is smaller than the sum of its proper divisors (299609895720).

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

138779384280 is a wasteful number, since it uses less digits than its factorization.

138779384280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19281 (or 19277 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 138779384280 in words is "one hundred thirty-eight billion, seven hundred seventy-nine million, three hundred eighty-four thousand, two hundred eighty".