163202144 has 48 divisors (see below), whose sum is σ = 374724000. Its totient is φ = 69939072.

The previous prime is 163202141. The next prime is 163202147. The reversal of 163202144 is 441202361.

163202144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (163202141) and next prime (163202147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163202141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3542 + ... + 18410.

It is an arithmetic number, because the mean of its divisors is an integer number (7806750).

Almost surely, 2^163202144 is an apocalyptic number.

163202144 is a gapful number since it is divisible by the number (14) 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 163202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187362000).

163202144 is an abundant number, since it is smaller than the sum of its proper divisors (211521856).

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

163202144 is an equidigital number, since it uses as much as digits as its factorization.

163202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14900 (or 14878 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 163202144 is about 12775.0594519165. The cubic root of 163202144 is about 546.4812762859.

The spelling of 163202144 in words is "one hundred sixty-three million, two hundred two thousand, one hundred forty-four".