138184704000 has 1800 divisors, whose sum is σ = 634591149192. Its totient is φ = 29727129600.

The previous prime is 138184703999. The next prime is 138184704061. The reversal of 138184704000 is 407481831.

138184704000 is a `hidden beast` number, since 1 + 3 + 8 + 184 + 70 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 585252864 + 137599451136 = 24192^2 + 370944^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8128511992 + ... + 8128512008.

Almost surely, 2^138184704000 is an apocalyptic number.

138184704000 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 138184704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317295574596).

138184704000 is an abundant number, since it is smaller than the sum of its proper divisors (496406445192).

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

138184704000 is an frugal number, since it uses more digits than its factorization.

138184704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 138184704000 in words is "one hundred thirty-eight billion, one hundred eighty-four million, seven hundred four thousand".