138814340280 has 384 divisors, whose sum is σ = 529500706560. Its totient is φ = 28788480000.

The previous prime is 138814340261. The next prime is 138814340377. The reversal of 138814340280 is 82043418831.

138814340280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 38870895 + ... + 38874465.

It is an arithmetic number, because the mean of its divisors is an integer number (1378908090).

Almost surely, 2^138814340280 is an apocalyptic number.

138814340280 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 138814340280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264750353280).

138814340280 is an abundant number, since it is smaller than the sum of its proper divisors (390686366280).

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

138814340280 is a wasteful number, since it uses less digits than its factorization.

138814340280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 138814340280 in words is "one hundred thirty-eight billion, eight hundred fourteen million, three hundred forty thousand, two hundred eighty".