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134838 = 23311227
BaseRepresentation
bin100000111010110110
320211222000
4200322312
513303323
62520130
71101054
oct407266
9224860
10134838
1192340
1266046
13494b2
14371d4
1529e43
hex20eb6

134838 has 32 divisors (see below), whose sum is σ = 328320. Its totient is φ = 40680.

The previous prime is 134837. The next prime is 134839. The reversal of 134838 is 838431.

134838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (134837) and next prime (134839).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2134838 is an apocalyptic number.

134838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164160).

134838 is an abundant number, since it is smaller than the sum of its proper divisors (193482).

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

134838 is a wasteful number, since it uses less digits than its factorization.

134838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 134838 is about 367.2029411647. The cubic root of 134838 is about 51.2787504756.

134838 divided by its sum of digits (27) gives a palindrome (4994).

It can be divided in two parts, 13 and 4838, that added together give a triangular number (4851 = T98).

The spelling of 134838 in words is "one hundred thirty-four thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 227 297 454 594 681 1362 2043 2497 4086 4994 6129 7491 12258 14982 22473 44946 67419 134838