163146312 has 192 divisors, whose sum is σ = 552115200. Its totient is φ = 44089920.

The previous prime is 163146311. The next prime is 163146317. The reversal of 163146312 is 213641361.

163146312 is a `hidden beast` number, since 16 + 3 + 14 + 631 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (163146311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258237 + ... + 258867.

It is an arithmetic number, because the mean of its divisors is an integer number (2875600).

Almost surely, 2^163146312 is an apocalyptic number.

163146312 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 163146312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276057600).

163146312 is an abundant number, since it is smaller than the sum of its proper divisors (388968888).

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

163146312 is a wasteful number, since it uses less digits than its factorization.

163146312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 662 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 163146312 is about 12772.8740696838. The cubic root of 163146312 is about 546.4189514866.

Adding to 163146312 its reverse (213641361), we get a palindrome (376787673).

The spelling of 163146312 in words is "one hundred sixty-three million, one hundred forty-six thousand, three hundred twelve".