168395136 has 256 divisors, whose sum is σ = 566630400. Its totient is φ = 43130880.

The previous prime is 168395111. The next prime is 168395203. The reversal of 168395136 is 631593861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2131545 + ... + 2131623.

It is an arithmetic number, because the mean of its divisors is an integer number (2213400).

Almost surely, 2^168395136 is an apocalyptic number.

168395136 is a gapful number since it is divisible by the number (16) 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 168395136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283315200).

168395136 is an abundant number, since it is smaller than the sum of its proper divisors (398235264).

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

168395136 is a wasteful number, since it uses less digits than its factorization.

168395136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 168395136 is about 12976.7151467542. The cubic root of 168395136 is about 552.2170958717.

The spelling of 168395136 in words is "one hundred sixty-eight million, three hundred ninety-five thousand, one hundred thirty-six".