138982184352 has 288 divisors, whose sum is σ = 454924753920. Its totient is φ = 39805032960.

The previous prime is 138982184323. The next prime is 138982184357. The reversal of 138982184352 is 253481289831.

138982184352 is a `hidden beast` number, since 1 + 38 + 9 + 82 + 184 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (138982184357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27866403 + ... + 27871389.

It is an arithmetic number, because the mean of its divisors is an integer number (1579599840).

Almost surely, 2^138982184352 is an apocalyptic number.

138982184352 is a gapful number since it is divisible by the number (12) 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 138982184352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227462376960).

138982184352 is an abundant number, since it is smaller than the sum of its proper divisors (315942569568).

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

138982184352 is a wasteful number, since it uses less digits than its factorization.

138982184352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 5485 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 138982184352 in words is "one hundred thirty-eight billion, nine hundred eighty-two million, one hundred eighty-four thousand, three hundred fifty-two".