161395200 has 240 divisors, whose sum is σ = 593667360. Its totient is φ = 42946560.

The previous prime is 161395193. The next prime is 161395231. The reversal of 161395200 is 2593161.

161395200 is a `hidden beast` number, since 1 + 6 + 139 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 345367 + ... + 345833.

It is an arithmetic number, because the mean of its divisors is an integer number (2473614).

Almost surely, 2^161395200 is an apocalyptic number.

161395200 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 161395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296833680).

161395200 is an abundant number, since it is smaller than the sum of its proper divisors (432272160).

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

161395200 is an equidigital number, since it uses as much as digits as its factorization.

161395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 161395200 is about 12704.1410571514. The cubic root of 161395200 is about 544.4569401855.

The spelling of 161395200 in words is "one hundred sixty-one million, three hundred ninety-five thousand, two hundred".