138379183488 has 512 divisors, whose sum is σ = 504949939200. Its totient is φ = 36329472000.

The previous prime is 138379183487. The next prime is 138379183489. The reversal of 138379183488 is 884381973831.

138379183488 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 79 + 1 + 83 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (138379183487) and next prime (138379183489).

It is a super-2 number, since 2×138379183488² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138379183483) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 78937620 + ... + 78939372.

It is an arithmetic number, because the mean of its divisors is an integer number (986230350).

Almost surely, 2^138379183488 is an apocalyptic number.

138379183488 is a gapful number since it is divisible by the number (18) 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 138379183488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252474969600).

138379183488 is an abundant number, since it is smaller than the sum of its proper divisors (366570755712).

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

138379183488 is a wasteful number, since it uses less digits than its factorization.

138379183488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2029 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 138379183488 in words is "one hundred thirty-eight billion, three hundred seventy-nine million, one hundred eighty-three thousand, four hundred eighty-eight".