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166144 = 281159
BaseRepresentation
bin101000100100000000
322102220111
4220210000
520304034
63321104
71261246
oct504400
9272814
10166144
11103910
1280194
135a814
1444796
1534364
hex28900

166144 has 36 divisors (see below), whose sum is σ = 367920. Its totient is φ = 74240.

The previous prime is 166099. The next prime is 166147. The reversal of 166144 is 441661.

It is a Harshad number since it is a multiple of its sum of digits (22).

Its product of digits (576) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (166147) by changing a digit.

166144 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 3 ways as a sum of consecutive naturals, for example, 2787 + ... + 2845.

It is an arithmetic number, because the mean of its divisors is an integer number (10220).

2166144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183960).

166144 is an abundant number, since it is smaller than the sum of its proper divisors (201776).

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

166144 is an equidigital number, since it uses as much as digits as its factorization.

166144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 166144 is about 407.6076544914. The cubic root of 166144 is about 54.9745336648.

The spelling of 166144 in words is "one hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 128 176 236 256 352 472 649 704 944 1298 1408 1888 2596 2816 3776 5192 7552 10384 15104 20768 41536 83072 166144