138282584832 has 1152 divisors, whose sum is σ = 522740736000. Its totient is φ = 35895508992.

The previous prime is 138282584827. The next prime is 138282584851. The reversal of 138282584832 is 238485282831.

138282584832 is a `hidden beast` number, since 1 + 3 + 8 + 28 + 2 + 584 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1894281948 + ... + 1894282020.

It is an arithmetic number, because the mean of its divisors is an integer number (453768000).

Almost surely, 2^138282584832 is an apocalyptic number.

138282584832 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 138282584832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261370368000).

138282584832 is an abundant number, since it is smaller than the sum of its proper divisors (384458151168).

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

138282584832 is an equidigital number, since it uses as much as digits as its factorization.

138282584832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The spelling of 138282584832 in words is "one hundred thirty-eight billion, two hundred eighty-two million, five hundred eighty-four thousand, eight hundred thirty-two".