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135896985 = 32574379127
BaseRepresentation
bin10000001100110…
…01111110011001
3100110201021121200
420012121332121
5234242200420
621252424413
73240051060
oct1006317631
9313637550
10135896985
116a78a464
1239618109
1322201923
14140971d7
15bde5b90
hex8199f99

135896985 has 96 divisors (see below), whose sum is σ = 281149440. Its totient is φ = 59439744.

The previous prime is 135896977. The next prime is 135896993. The reversal of 135896985 is 589698531.

It is a happy number.

135896985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135896977) and next prime (135896993).

It is not a de Polignac number, because 135896985 - 23 = 135896977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1069992 + ... + 1070118.

It is an arithmetic number, because the mean of its divisors is an integer number (2928640).

Almost surely, 2135896985 is an apocalyptic number.

135896985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135896985 is an abundant number, since it is smaller than the sum of its proper divisors (145252455).

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

135896985 is a wasteful number, since it uses less digits than its factorization.

135896985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 264 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 135896985 is about 11657.4862213086. The cubic root of 135896985 is about 514.1264419158.

The spelling of 135896985 in words is "one hundred thirty-five million, eight hundred ninety-six thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 79 105 127 129 215 237 301 315 381 387 395 553 635 645 711 889 903 1143 1185 1505 1659 1905 1935 2667 2709 2765 3397 3555 4445 4515 4977 5461 5715 8001 8295 10033 10191 13335 13545 16383 16985 23779 24885 27305 30099 30573 38227 40005 49149 50165 50955 70231 71337 81915 90297 114681 118895 150495 152865 191135 210693 214011 245745 344043 351155 356685 431419 451485 573405 632079 1053465 1070055 1294257 1720215 2157095 3019933 3160395 3882771 6471285 9059799 15099665 19413855 27179397 45298995 135896985