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135143064 = 233271715773
BaseRepresentation
bin10000000111000…
…01111010011000
3100102021222102200
420003201322120
5234044034224
621224330200
73230461050
oct1003417230
9312258380
10135143064
116a314a91
1239313960
1321cc9714
1413d3c560
15bce75c9
hex80e1e98

135143064 has 96 divisors (see below), whose sum is σ = 442933920. Its totient is φ = 36338688.

The previous prime is 135143059. The next prime is 135143117. The reversal of 135143064 is 460341531.

135143064 is a `hidden beast` number, since 1 + 351 + 4 + 306 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682 + ... + 16454.

It is an arithmetic number, because the mean of its divisors is an integer number (4613895).

Almost surely, 2135143064 is an apocalyptic number.

135143064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135143064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221466960).

135143064 is an abundant number, since it is smaller than the sum of its proper divisors (307790856).

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

135143064 is a wasteful number, since it uses less digits than its factorization.

135143064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15809 (or 15802 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135143064 is about 11625.1049027525. The cubic root of 135143064 is about 513.1739318796.

Adding to 135143064 its reverse (460341531), we get a palindrome (595484595).

The spelling of 135143064 in words is "one hundred thirty-five million, one hundred forty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 15773 31546 47319 63092 94638 110411 126184 141957 189276 220822 268141 283914 331233 378552 441644 536282 567828 662466 804423 883288 993699 1072564 1135656 1324932 1608846 1876987 1987398 2145128 2413269 2649864 3217692 3753974 3974796 4826538 5630961 6435384 7507948 7949592 9653076 11261922 15015896 16892883 19306152 22523844 33785766 45047688 67571532 135143064