138163656960 has 1728 divisors, whose sum is σ = 617116631040. Its totient is φ = 28904325120.

The previous prime is 138163656941. The next prime is 138163656971. The reversal of 138163656960 is 69656361831.

138163656960 is a `hidden beast` number, since 1 + 3 + 8 + 16 + 3 + 6 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×138163656960² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 138163656897 and 138163656906.

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 191 ways as a sum of consecutive naturals, for example, 1552400596 + ... + 1552400684.

It is an arithmetic number, because the mean of its divisors is an integer number (357127680).

Almost surely, 2^138163656960 is an apocalyptic number.

138163656960 is a gapful number since it is divisible by the number (10) 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 138163656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308558315520).

138163656960 is an abundant number, since it is smaller than the sum of its proper divisors (478952974080).

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

138163656960 is an equidigital number, since it uses as much as digits as its factorization.

138163656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 138163656960 in words is "one hundred thirty-eight billion, one hundred sixty-three million, six hundred fifty-six thousand, nine hundred sixty".