138195328824 has 128 divisors (see below), whose sum is σ = 441140044800. Its totient is φ = 39266156160.

The previous prime is 138195328793. The next prime is 138195328871. The reversal of 138195328824 is 428823591831.

138195328824 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 9 + 532 + 88 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21189 + ... + 526155.

It is an arithmetic number, because the mean of its divisors is an integer number (3446406600).

Almost surely, 2^138195328824 is an apocalyptic number.

138195328824 is a gapful number since it is divisible by the number (14) 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 138195328824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220570022400).

138195328824 is an abundant number, since it is smaller than the sum of its proper divisors (302944715976).

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

138195328824 is a wasteful number, since it uses less digits than its factorization.

138195328824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505170 (or 505160 counting only the distinct ones).

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

The spelling of 138195328824 in words is "one hundred thirty-eight billion, one hundred ninety-five million, three hundred twenty-eight thousand, eight hundred twenty-four".