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135995904 = 2932112683
BaseRepresentation
bin10000001101100…
…10001000000000
3100110220022022100
420012302020000
5234303332104
621254510400
73240642342
oct1006621000
9313808270
10135995904
116a847810
1239665400
1322237965
14140c1292
15be15139
hex81b2200

135995904 has 120 divisors (see below), whose sum is σ = 428334192. Its totient is φ = 41195520.

The previous prime is 135995897. The next prime is 135995929. The reversal of 135995904 is 409599531.

It is a happy number.

135995904 is a `hidden beast` number, since 1 + 3 + 59 + 9 + 590 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 135995904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49347 + ... + 52029.

Almost surely, 2135995904 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 135995904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214167096).

135995904 is an abundant number, since it is smaller than the sum of its proper divisors (292338288).

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

135995904 is a wasteful number, since it uses less digits than its factorization.

135995904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 135995904 is about 11661.7281738171. The cubic root of 135995904 is about 514.2511553497.

It can be divided in two parts, 13599 and 5904, that added together give a triangular number (19503 = T197).

The spelling of 135995904 in words is "one hundred thirty-five million, nine hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2683 2816 3168 4224 4608 5366 5632 6336 8049 8448 10732 12672 16098 16896 21464 24147 25344 29513 32196 42928 48294 50688 59026 64392 85856 88539 96588 118052 128784 171712 177078 193176 236104 257568 265617 343424 354156 386352 472208 515136 531234 686848 708312 772704 944416 1030272 1062468 1373696 1416624 1545408 1888832 2060544 2124936 2833248 3090816 3777664 4121088 4249872 5666496 6181632 7555328 8499744 11332992 12363264 15110656 16999488 22665984 33998976 45331968 67997952 135995904