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135230634 = 23471137293
BaseRepresentation
bin10000000111101…
…11010010101010
3100102110102120000
420003313102222
5234104340014
621230243430
73231304260
oct1003672252
9312412500
10135230634
116a374860
1239356576
132202a536
1413d62430
15bd13509
hex80f74aa

135230634 has 160 divisors (see below), whose sum is σ = 389321856. Its totient is φ = 34058880.

The previous prime is 135230629. The next prime is 135230659. The reversal of 135230634 is 436032531.

It is a happy number.

135230634 is a `hidden beast` number, since 1 + 3 + 5 + 23 + 0 + 634 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 135230598 and 135230607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 461392 + ... + 461684.

Almost surely, 2135230634 is an apocalyptic number.

135230634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135230634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194660928).

135230634 is an abundant number, since it is smaller than the sum of its proper divisors (254091222).

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

135230634 is a wasteful number, since it uses less digits than its factorization.

135230634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 135230634 is about 11628.8707104344. The cubic root of 135230634 is about 513.2847500919.

The spelling of 135230634 in words is "one hundred thirty-five million, two hundred thirty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 37 42 54 63 66 74 77 81 99 111 126 154 162 189 198 222 231 259 293 297 333 378 407 462 518 567 586 594 666 693 777 814 879 891 999 1134 1221 1386 1554 1758 1782 1998 2051 2079 2331 2442 2637 2849 2997 3223 3663 4102 4158 4662 5274 5698 5994 6153 6237 6446 6993 7326 7911 8547 9669 10841 10989 12306 12474 13986 15822 17094 18459 19338 20979 21682 21978 22561 23733 25641 29007 32523 32967 36918 41958 45122 47466 51282 55377 58014 65046 65934 67683 75887 76923 87021 97569 110754 119251 135366 151774 153846 166131 174042 195138 203049 227661 230769 238502 261063 292707 332262 357753 406098 455322 461538 522126 585414 609147 682983 715506 834757 878121 1073259 1218294 1365966 1669514 1756242 1827441 2048949 2146518 2504271 3219777 3654882 4097898 5008542 6146847 6439554 7512813 9659331 12293694 15025626 19318662 22538439 45076878 67615317 135230634