Search a number
-
+
134735238 = 2361131271
BaseRepresentation
bin10000000011111…
…10010110000110
3100101112021000000
420001332112012
5233443011423
621211502130
73224142051
oct1001762606
9311467000
10134735238
116a066640
1239157946
1321bb5bc1
1413c73a98
15bc66843
hex807e586

134735238 has 112 divisors (see below), whose sum is σ = 342484992. Its totient is φ = 39366000.

The previous prime is 134735233. The next prime is 134735243. The reversal of 134735238 is 832537431.

It is an interprime number because it is at equal distance from previous prime (134735233) and next prime (134735243).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134735233) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 497043 + ... + 497313.

Almost surely, 2134735238 is an apocalyptic number.

134735238 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 134735238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171242496).

134735238 is an abundant number, since it is smaller than the sum of its proper divisors (207749754).

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

134735238 is a wasteful number, since it uses less digits than its factorization.

134735238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 134735238 is about 11607.5509044759. The cubic root of 134735238 is about 512.6572040448.

It can be divided in two parts, 1347 and 35238, that added together give a triangular number (36585 = T270).

The spelling of 134735238 in words is "one hundred thirty-four million, seven hundred thirty-five thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 162 186 198 243 271 279 297 341 486 542 558 594 682 729 813 837 891 1023 1458 1626 1674 1782 2046 2439 2511 2673 2981 3069 4878 5022 5346 5962 6138 7317 7533 8019 8401 8943 9207 14634 15066 16038 16802 17886 18414 21951 22599 25203 26829 27621 43902 45198 50406 53658 55242 65853 75609 80487 82863 92411 131706 151218 160974 165726 184822 197559 226827 241461 248589 277233 395118 453654 482922 497178 554466 680481 724383 831699 1360962 1448766 1663398 2041443 2173149 2495097 4082886 4346298 4990194 6124329 7485291 12248658 14970582 22455873 44911746 67367619 134735238