138429486720 has 384 divisors, whose sum is σ = 547268417280. Its totient is φ = 31585075200.

The previous prime is 138429486691. The next prime is 138429486737. The reversal of 138429486720 is 27684924831.

138429486720 is a `hidden beast` number, since 13 + 84 + 2 + 9 + 486 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25439200 + ... + 25444640.

It is an arithmetic number, because the mean of its divisors is an integer number (1425178170).

Almost surely, 2^138429486720 is an apocalyptic number.

138429486720 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 138429486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273634208640).

138429486720 is an abundant number, since it is smaller than the sum of its proper divisors (408838930560).

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

138429486720 is a wasteful number, since it uses less digits than its factorization.

138429486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6104 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 138429486720 in words is "one hundred thirty-eight billion, four hundred twenty-nine million, four hundred eighty-six thousand, seven hundred twenty".