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134288 = 24711109
BaseRepresentation
bin100000110010010000
320211012122
4200302100
513244123
62513412
71066340
oct406220
9224178
10134288
1191990
1265868
134917b
1436d20
1529bc8
hex20c90

134288 has 40 divisors (see below), whose sum is σ = 327360. Its totient is φ = 51840.

The previous prime is 134287. The next prime is 134291. The reversal of 134288 is 882431.

It is a d-powerful number, because it can be written as 1 + 37 + 217 + 4 + 83 + 83 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134287) 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, 1178 + ... + 1286.

It is an arithmetic number, because the mean of its divisors is an integer number (8184).

2134288 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 134288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163680).

134288 is an abundant number, since it is smaller than the sum of its proper divisors (193072).

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

134288 is a wasteful number, since it uses less digits than its factorization.

134288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 134288 is about 366.4532712366. The cubic root of 134288 is about 51.2089339879.

The spelling of 134288 in words is "one hundred thirty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 109 112 154 176 218 308 436 616 763 872 1199 1232 1526 1744 2398 3052 4796 6104 8393 9592 12208 16786 19184 33572 67144 134288