138802144320 has 672 divisors, whose sum is σ = 590487625728. Its totient is φ = 30344067072.

The previous prime is 138802144319. The next prime is 138802144363. The reversal of 138802144320 is 23441208831.

It is a happy number.

138802144320 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 0 + 214 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12513817 + ... + 12524903.

It is an arithmetic number, because the mean of its divisors is an integer number (878701824).

Almost surely, 2^138802144320 is an apocalyptic number.

138802144320 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 138802144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295243812864).

138802144320 is an abundant number, since it is smaller than the sum of its proper divisors (451685481408).

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

138802144320 is a wasteful number, since it uses less digits than its factorization.

138802144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11149 (or 11127 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 1388021 and 44320, that added together give a palindrome (1432341).

The spelling of 138802144320 in words is "one hundred thirty-eight billion, eight hundred two million, one hundred forty-four thousand, three hundred twenty".