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135933876 = 22341359547
BaseRepresentation
bin10000001101000…
…10111110110100
3100110210011020000
420012202332310
5234244341001
621253311300
73240263451
oct1006427664
9313704200
10135933876
116a805151
1239635530
1322215660
14140a6828
15be01a86
hex81a2fb4

135933876 has 120 divisors (see below), whose sum is σ = 389891040. Its totient is φ = 41041728.

The previous prime is 135933869. The next prime is 135933911. The reversal of 135933876 is 678339531.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 248235 + ... + 248781.

It is an arithmetic number, because the mean of its divisors is an integer number (3249092).

Almost surely, 2135933876 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 135933876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194945520).

135933876 is an abundant number, since it is smaller than the sum of its proper divisors (253957164).

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

135933876 is a wasteful number, since it uses less digits than its factorization.

135933876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 624 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 135933876 is about 11659.0684018922. The cubic root of 135933876 is about 514.1729598048.

The spelling of 135933876 in words is "one hundred thirty-five million, nine hundred thirty-three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 59 78 81 108 117 118 156 162 177 234 236 324 351 354 468 531 547 702 708 767 1053 1062 1094 1404 1534 1593 1641 2106 2124 2188 2301 3068 3186 3282 4212 4602 4779 4923 6372 6564 6903 7111 9204 9558 9846 13806 14222 14769 19116 19692 20709 21333 27612 28444 29538 32273 41418 42666 44307 59076 62127 63999 64546 82836 85332 88614 96819 124254 127998 129092 177228 191997 193638 248508 255996 290457 383994 387276 419549 575991 580914 767988 839098 871371 1151982 1161828 1258647 1678196 1742742 2303964 2517294 2614113 3485484 3775941 5034588 5228226 7551882 10456452 11327823 15103764 22655646 33983469 45311292 67966938 135933876