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161136 = 2433373
BaseRepresentation
bin100111010101110000
322012001000
4213111300
520124021
63242000
71240533
oct472560
9265030
10161136
11100078
1279300
1358461
1442a1a
1532b26
hex27570

161136 has 40 divisors (see below), whose sum is σ = 463760. Its totient is φ = 53568.

The previous prime is 161123. The next prime is 161137. The reversal of 161136 is 631161.

161136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) 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 (18).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161137) by changing a digit.

161136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246 + ... + 618.

It is an arithmetic number, because the mean of its divisors is an integer number (11594).

2161136 is an apocalyptic number.

161136 is a gapful number since it is divisible by the number (16) 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 161136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231880).

161136 is an abundant number, since it is smaller than the sum of its proper divisors (302624).

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

161136 is a wasteful number, since it uses less digits than its factorization.

161136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

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

The square root of 161136 is about 401.4174884083. The cubic root of 161136 is about 54.4165318844.

Subtracting from 161136 its product of digits (108), we obtain a triangular number (161028 = T567).

Adding to 161136 its reverse (631161), we get a palindrome (792297).

The spelling of 161136 in words is "one hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 373 432 746 1119 1492 2238 2984 3357 4476 5968 6714 8952 10071 13428 17904 20142 26856 40284 53712 80568 161136