168138432000 has 1920 divisors, whose sum is σ = 803036602368. Its totient is φ = 32735232000.

The previous prime is 168138431963. The next prime is 168138432013. The reversal of 168138432000 is 234831861.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 753983889 + ... + 753984111.

Almost surely, 2^168138432000 is an apocalyptic number.

168138432000 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 168138432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401518301184).

168138432000 is an abundant number, since it is smaller than the sum of its proper divisors (634898170368).

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

168138432000 is a wasteful number, since it uses less digits than its factorization.

168138432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 168138432000 in words is "one hundred sixty-eight billion, one hundred thirty-eight million, four hundred thirty-two thousand".