161305200 has 360 divisors, whose sum is σ = 660829728. Its totient is φ = 35665920.

The previous prime is 161305153. The next prime is 161305211. The reversal of 161305200 is 2503161.

161305200 is a `hidden beast` number, since 1 + 613 + 0 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 932314 + ... + 932486.

Almost surely, 2^161305200 is an apocalyptic number.

161305200 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 161305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330414864).

161305200 is an abundant number, since it is smaller than the sum of its proper divisors (499524528).

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

161305200 is a wasteful number, since it uses less digits than its factorization.

161305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 161305200 is about 12700.5984110986. The cubic root of 161305200 is about 544.3557181836.

Adding to 161305200 its reverse (2503161), we get a palindrome (163808361).

The spelling of 161305200 in words is "one hundred sixty-one million, three hundred five thousand, two hundred".