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135313134 = 231153101383
BaseRepresentation
bin10000001000010…
…11011011101110
3100102121121201120
420010023123232
5234120010014
621232121410
73232066635
oct1004133356
9312547646
10135313134
116a420840
1239396266
1322058c58
1413d8451c
15bd2cba9
hex810b6ee

135313134 has 64 divisors (see below), whose sum is σ = 304570368. Its totient is φ = 39728000.

The previous prime is 135313127. The next prime is 135313147. The reversal of 135313134 is 431313531.

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 31 ways as a sum of consecutive naturals, for example, 353107 + ... + 353489.

It is an arithmetic number, because the mean of its divisors is an integer number (4758912).

Almost surely, 2135313134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135313134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152285184).

135313134 is an abundant number, since it is smaller than the sum of its proper divisors (169257234).

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

135313134 is a wasteful number, since it uses less digits than its factorization.

135313134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553.

The product of its digits is 1620, while the sum is 24.

The square root of 135313134 is about 11632.4173755931. The cubic root of 135313134 is about 513.3891085552.

Adding to 135313134 its reverse (431313531), we get a palindrome (566626665).

The spelling of 135313134 in words is "one hundred thirty-five million, three hundred thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 53 66 101 106 159 202 303 318 383 583 606 766 1111 1149 1166 1749 2222 2298 3333 3498 4213 5353 6666 8426 10706 12639 16059 20299 25278 32118 38683 40598 58883 60897 77366 116049 117766 121794 176649 223289 232098 353298 425513 446578 669867 851026 1276539 1339734 2050199 2553078 4100398 6150597 12301194 22552189 45104378 67656567 135313134