161539200 has 288 divisors, whose sum is σ = 591926400. Its totient is φ = 41932800.

The previous prime is 161539181. The next prime is 161539201. The reversal of 161539200 is 2935161.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (161539201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2044761 + ... + 2044839.

It is an arithmetic number, because the mean of its divisors is an integer number (2055300).

Almost surely, 2^161539200 is an apocalyptic number.

161539200 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 161539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295963200).

161539200 is an abundant number, since it is smaller than the sum of its proper divisors (430387200).

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

161539200 is a wasteful number, since it uses less digits than its factorization.

161539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

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

The square root of 161539200 is about 12709.8072369332. The cubic root of 161539200 is about 544.6188171470.

The spelling of 161539200 in words is "one hundred sixty-one million, five hundred thirty-nine thousand, two hundred".