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135131976 = 23347313
BaseRepresentation
bin10000000110111…
…11001101001000
3100102021102020000
420003133031020
5234043210401
621224203000
73230413530
oct1003371510
9312242200
10135131976
116a307721
1239309460
1321cc4665
1413d384c0
15bce4186
hex80df348

135131976 has 160 divisors (see below), whose sum is σ = 446983680. Its totient is φ = 37363680.

The previous prime is 135131959. The next prime is 135131981. The reversal of 135131976 is 679131531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135131976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4359081 + ... + 4359111.

It is an arithmetic number, because the mean of its divisors is an integer number (2793648).

Almost surely, 2135131976 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 135131976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223491840).

135131976 is an abundant number, since it is smaller than the sum of its proper divisors (311851704).

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

135131976 is an frugal number, since it uses more digits than its factorization.

135131976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 43 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 135131976 is about 11624.6279940478. The cubic root of 135131976 is about 513.1598968069.

The spelling of 135131976 in words is "one hundred thirty-five million, one hundred thirty-one thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 81 84 93 108 124 126 162 168 186 189 216 217 248 252 279 324 372 378 434 504 558 567 648 651 744 756 837 868 961 1116 1134 1302 1512 1674 1736 1922 1953 2232 2268 2511 2604 2883 3348 3844 3906 4536 5022 5208 5766 5859 6696 6727 7688 7812 8649 10044 11532 11718 13454 15624 17298 17577 20088 20181 23064 23436 25947 26908 29791 34596 35154 40362 46872 51894 53816 59582 60543 69192 70308 77841 80724 89373 103788 119164 121086 140616 155682 161448 178746 181629 207576 208537 238328 242172 268119 311364 357492 363258 417074 484344 536238 544887 622728 625611 714984 726516 804357 834148 1072476 1089774 1251222 1453032 1608714 1668296 1876833 2144952 2179548 2413071 2502444 3217428 3753666 4359096 4826142 5004888 5630499 6434856 7507332 9652284 11260998 15014664 16891497 19304568 22521996 33782994 45043992 67565988 135131976