138749345280 has 2240 divisors, whose sum is σ = 661222679040. Its totient is φ = 27088846848.

The previous prime is 138749345239. The next prime is 138749345351. The reversal of 138749345280 is 82543947831.

It is a happy number.

138749345280 is a `hidden beast` number, since 1 + 3 + 87 + 4 + 9 + 34 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 138749345280 = 1728³ + 5112³ = 2616³ + 4944³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3226728939 + ... + 3226728981.

It is an arithmetic number, because the mean of its divisors is an integer number (295188696).

Almost surely, 2^138749345280 is an apocalyptic number.

138749345280 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 138749345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330611339520).

138749345280 is an abundant number, since it is smaller than the sum of its proper divisors (522473333760).

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

138749345280 is an equidigital number, since it uses as much as digits as its factorization.

138749345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 138749345280 in words is "one hundred thirty-eight billion, seven hundred forty-nine million, three hundred forty-five thousand, two hundred eighty".