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135185088 = 2631783499
BaseRepresentation
bin10000000111011…
…00001011000000
3100102101010002010
420003230023000
5234101410323
621225252520
73231024423
oct1003541300
9312333063
10135185088
116a343615
1239334140
132201289c
1413d4d9ba
15bd04c93
hex80ec2c0

135185088 has 112 divisors (see below), whose sum is σ = 384048000. Its totient is φ = 41816064.

The previous prime is 135185069. The next prime is 135185093. The reversal of 135185088 is 880581531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270663 + ... + 271161.

It is an arithmetic number, because the mean of its divisors is an integer number (3429000).

Almost surely, 2135185088 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 135185088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192024000).

135185088 is an abundant number, since it is smaller than the sum of its proper divisors (248862912).

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

135185088 is a wasteful number, since it uses less digits than its factorization.

135185088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

The square root of 135185088 is about 11626.9122298227. The cubic root of 135185088 is about 513.2271184453.

The spelling of 135185088 in words is "one hundred thirty-five million, one hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 136 166 192 204 249 272 332 408 498 499 544 664 816 996 998 1088 1328 1411 1497 1632 1992 1996 2656 2822 2994 3264 3984 3992 4233 5312 5644 5988 7968 7984 8466 8483 11288 11976 15936 15968 16932 16966 22576 23952 25449 31936 33864 33932 41417 45152 47904 50898 67728 67864 82834 90304 95808 101796 124251 135456 135728 165668 203592 248502 270912 271456 331336 407184 497004 542912 662672 704089 814368 994008 1325344 1408178 1628736 1988016 2112267 2650688 2816356 3976032 4224534 5632712 7952064 8449068 11265424 16898136 22530848 33796272 45061696 67592544 135185088