138471984000 has 1024 divisors, whose sum is σ = 603383040000. Its totient is φ = 30539980800.

The previous prime is 138471983987. The next prime is 138471984139. The reversal of 138471984000 is 489174831.

It is a happy number.

138471984000 is a `hidden beast` number, since 13 + 8 + 47 + 198 + 400 + 0 = 666.

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, 87695211 + ... + 87696789.

It is an arithmetic number, because the mean of its divisors is an integer number (589241250).

Almost surely, 2^138471984000 is an apocalyptic number.

138471984000 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 138471984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301691520000).

138471984000 is an abundant number, since it is smaller than the sum of its proper divisors (464911056000).

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

138471984000 is a wasteful number, since it uses less digits than its factorization.

138471984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 138471984000 in words is "one hundred thirty-eight billion, four hundred seventy-one million, nine hundred eighty-four thousand".