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135908136 = 233271320743
BaseRepresentation
bin10000001100111…
…00101100101000
3100110201211220200
420012130230220
5234243030021
621252552200
73240125430
oct1006345450
9313654820
10135908136
116a797881
1239622660
1322206a20
141409b2c0
15bde9126
hex819cb28

135908136 has 96 divisors (see below), whose sum is σ = 453048960. Its totient is φ = 35842176.

The previous prime is 135908119. The next prime is 135908137. The reversal of 135908136 is 631809531.

It is a happy number.

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 135908136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135908137) by changing a digit.

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, 3820 + ... + 16923.

It is an arithmetic number, because the mean of its divisors is an integer number (4719260).

Almost surely, 2135908136 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 135908136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226524480).

135908136 is an abundant number, since it is smaller than the sum of its proper divisors (317140824).

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

135908136 is a wasteful number, since it uses less digits than its factorization.

135908136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20775 (or 20768 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 135908136 is about 11657.9644878512. The cubic root of 135908136 is about 514.1405037121.

The spelling of 135908136 in words is "one hundred thirty-five million, nine hundred eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 20743 41486 62229 82972 124458 145201 165944 186687 248916 269659 290402 373374 435603 497832 539318 580804 746748 808977 871206 1078636 1161608 1306809 1493496 1617954 1742412 1887613 2157272 2426931 2613618 3235908 3484824 3775226 4853862 5227236 5662839 6471816 7550452 9707724 10454472 11325678 15100904 16988517 19415448 22651356 33977034 45302712 67954068 135908136