138812424192 has 512 divisors, whose sum is σ = 451405080000. Its totient is φ = 42424860672.

The previous prime is 138812424187. The next prime is 138812424241. The reversal of 138812424192 is 291424218831.

138812424192 is a `hidden beast` number, since 1 + 38 + 8 + 1 + 2 + 424 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×138812424192² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 12.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 931626934 + ... + 931627082.

Almost surely, 2^138812424192 is an apocalyptic number.

138812424192 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 138812424192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225702540000).

138812424192 is an abundant number, since it is smaller than the sum of its proper divisors (312592655808).

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

138812424192 is an frugal number, since it uses more digits than its factorization.

138812424192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 167 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 138812424192 in words is "one hundred thirty-eight billion, eight hundred twelve million, four hundred twenty-four thousand, one hundred ninety-two".