168138432 has 336 divisors, whose sum is σ = 639055872. Its totient is φ = 40919040.

The previous prime is 168138413. The next prime is 168138493. The reversal of 168138432 is 234831861.

It is a tau number, because it is divible by the number of its divisors (336).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 753873 + ... + 754095.

It is an arithmetic number, because the mean of its divisors is an integer number (1901952).

Almost surely, 2^168138432 is an apocalyptic number.

168138432 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 168138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319527936).

168138432 is an abundant number, since it is smaller than the sum of its proper divisors (470917440).

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

168138432 is a wasteful number, since it uses less digits than its factorization.

168138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

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

The square root of 168138432 is about 12966.8204275374. The cubic root of 168138432 is about 551.9363505691.

The spelling of 168138432 in words is "one hundred sixty-eight million, one hundred thirty-eight thousand, four hundred thirty-two".