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134664 = 23331181
BaseRepresentation
bin100000111000001000
320211201120
4200320020
513302124
62515240
71100415
oct407010
9224646
10134664
11921a2
1265b20
13493aa
143710c
1529d79
hex20e08

134664 has 32 divisors (see below), whose sum is σ = 349440. Its totient is φ = 43200.

The previous prime is 134639. The next prime is 134669. The reversal of 134664 is 466431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (134669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 654 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2134664 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 134664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174720).

134664 is an abundant number, since it is smaller than the sum of its proper divisors (214776).

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

134664 is a wasteful number, since it uses less digits than its factorization.

134664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 134664 is about 366.9659384739. The cubic root of 134664 is about 51.2566836415.

The spelling of 134664 in words is "one hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 181 186 248 362 372 543 724 744 1086 1448 2172 4344 5611 11222 16833 22444 33666 44888 67332 134664