161312160 has 96 divisors (see below), whose sum is σ = 514382400. Its totient is φ = 42487808.

The previous prime is 161312149. The next prime is 161312171. The reversal of 161312160 is 61213161.

161312160 is digitally balanced in base 2, 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 (161312149) and next prime (161312171).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×161312160² = 52043225927731200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37816 + ... + 41864.

It is an arithmetic number, because the mean of its divisors is an integer number (5358150).

Almost surely, 2^161312160 is an apocalyptic number.

161312160 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 161312160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257191200).

161312160 is an abundant number, since it is smaller than the sum of its proper divisors (353070240).

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

161312160 is a wasteful number, since it uses less digits than its factorization.

161312160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 161312160 is about 12700.8724109803. The cubic root of 161312160 is about 544.3635473615.

The spelling of 161312160 in words is "one hundred sixty-one million, three hundred twelve thousand, one hundred sixty".