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135131475102 = 2313293111631657
BaseRepresentation
bin111110111011001110…
…1101010110010011110
3110220210112201012010020
41331312131222302132
54203222124200402
6142024544253010
712522453405111
oct1756635526236
9426715635106
10135131475102
1152344216348
1222233311166
13c987047430
14677cbd2578
1537ad5da8bc
hex1f7676ac9e

135131475102 has 128 divisors (see below), whose sum is σ = 311256207360. Its totient is φ = 38793323520.

The previous prime is 135131475091. The next prime is 135131475113. The reversal of 135131475102 is 201574131531.

It is an interprime number because it is at equal distance from previous prime (135131475091) and next prime (135131475113).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81551058 + ... + 81552714.

It is an arithmetic number, because the mean of its divisors is an integer number (2431689120).

Almost surely, 2135131475102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135131475102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155628103680).

135131475102 is an abundant number, since it is smaller than the sum of its proper divisors (176124732258).

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

135131475102 is a wasteful number, since it uses less digits than its factorization.

135131475102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898.

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 135131475102 in words is "one hundred thirty-five billion, one hundred thirty-one million, four hundred seventy-five thousand, one hundred two".

Divisors: 1 2 3 6 13 26 29 31 39 58 62 78 87 93 174 186 377 403 754 806 899 1131 1163 1209 1657 1798 2262 2326 2418 2697 3314 3489 4971 5394 6978 9942 11687 15119 21541 23374 30238 33727 35061 36053 43082 45357 48053 51367 64623 67454 70122 72106 90714 96106 101181 102734 108159 129246 144159 154101 202362 216318 288318 308202 438451 468689 624689 667771 876902 937378 1045537 1249378 1315353 1335542 1406067 1489643 1874067 1927091 2003313 2091074 2630706 2812134 2979286 3136611 3748134 3854182 4006626 4468929 5781273 6273222 8937858 11562546 13591981 19365359 25052183 27183962 38730718 40775943 50104366 55885639 58096077 59739821 75156549 81551886 111771278 116192154 119479642 150313098 167656917 179219463 335313834 358438926 726513307 776617673 1453026614 1553235346 1732454809 2179539921 2329853019 3464909618 4359079842 4659706038 5197364427 10394728854 22521912517 45043825034 67565737551 135131475102