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135210537 = 327111723499
BaseRepresentation
bin10000000111100…
…10011000101001
3100102102101222200
420003302120221
5234103214122
621230010413
73231161550
oct1003623051
9312371880
10135210537
116a360750
1239346a09
1322021347
1413d58d97
15bd0c5ac
hex80f2629

135210537 has 96 divisors (see below), whose sum is σ = 269568000. Its totient is φ = 63106560.

The previous prime is 135210461. The next prime is 135210541. The reversal of 135210537 is 735012531.

It is not a de Polignac number, because 135210537 - 27 = 135210409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135210537.

It is not an unprimeable number, because it can be changed into a prime (135210547) 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 95 ways as a sum of consecutive naturals, for example, 270714 + ... + 271212.

It is an arithmetic number, because the mean of its divisors is an integer number (2808000).

Almost surely, 2135210537 is an apocalyptic number.

135210537 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

135210537 is a deficient number, since it is larger than the sum of its proper divisors (134357463).

135210537 is a wasteful number, since it uses less digits than its factorization.

135210537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 135210537 is about 11628.0065789455. The cubic root of 135210537 is about 513.2593219415.

The spelling of 135210537 in words is "one hundred thirty-five million, two hundred ten thousand, five hundred thirty-seven".

Divisors: 1 3 7 9 11 17 21 23 33 51 63 69 77 99 119 153 161 187 207 231 253 357 391 483 499 561 693 759 1071 1173 1309 1449 1497 1683 1771 2277 2737 3493 3519 3927 4301 4491 5313 5489 8211 8483 10479 11477 11781 12903 15939 16467 24633 25449 30107 31437 34431 38423 38709 49401 59381 76347 80339 90321 93313 103293 115269 126247 178143 195109 241017 270963 279939 345807 378741 534429 585327 653191 723051 839817 883729 1136223 1365763 1755981 1959573 2146199 2651187 4097289 5878719 6438597 7953561 12291867 15023393 19315791 45070179 135210537