138288384000 has 1536 divisors, whose sum is σ = 586692288000. Its totient is φ = 32248627200.

The previous prime is 138288383993. The next prime is 138288384061. The reversal of 138288384000 is 483882831.

138288384000 is a `hidden beast` number, since 138 + 2 + 88 + 38 + 400 + 0 = 666.

138288384000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7278335991 + ... + 7278336009.

It is an arithmetic number, because the mean of its divisors is an integer number (381961125).

Almost surely, 2^138288384000 is an apocalyptic number.

138288384000 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 138288384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293346144000).

138288384000 is an abundant number, since it is smaller than the sum of its proper divisors (448403904000).

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

138288384000 is an frugal number, since it uses more digits than its factorization.

138288384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 138288384000 in words is "one hundred thirty-eight billion, two hundred eighty-eight million, three hundred eighty-four thousand".