161834112 has 288 divisors, whose sum is σ = 543182640. Its totient is φ = 47900160.

The previous prime is 161834089. The next prime is 161834117. The reversal of 161834112 is 211438161.

It is a happy number.

161834112 is a `hidden beast` number, since 1 + 618 + 3 + 41 + 1 + 2 = 666.

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

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (161834117) 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, 3763563 + ... + 3763605.

Almost surely, 2^161834112 is an apocalyptic number.

161834112 is a gapful number since it is divisible by the number (12) 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 161834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271591320).

161834112 is an abundant number, since it is smaller than the sum of its proper divisors (381348528).

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

161834112 is an equidigital number, since it uses as much as digits as its factorization.

161834112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 59 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 161834112 is about 12721.4036961335. The cubic root of 161834112 is about 544.9500411518.

The spelling of 161834112 in words is "one hundred sixty-one million, eight hundred thirty-four thousand, one hundred twelve".