161300160 has 420 divisors, whose sum is σ = 672705792. Its totient is φ = 36578304.

The previous prime is 161300149. The next prime is 161300179. The reversal of 161300160 is 61003161.

161300160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1270017 + ... + 1270143.

Almost surely, 2^161300160 is an apocalyptic number.

161300160 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 161300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336352896).

161300160 is an abundant number, since it is smaller than the sum of its proper divisors (511405632).

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

161300160 is a wasteful number, since it uses less digits than its factorization.

161300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 161300160 is about 12700.3999937010. The cubic root of 161300160 is about 544.3500486384.

The spelling of 161300160 in words is "one hundred sixty-one million, three hundred thousand, one hundred sixty".