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135686106 = 232191133511
BaseRepresentation
bin10000001011001…
…10011111011010
3100110022120100100
420011212133122
5234213423411
621244120230
73235212213
oct1005463732
9313276310
10135686106
116a655a86
1239536076
132215994a
141404040a
15bda3456
hex81667da

135686106 has 48 divisors (see below), whose sum is σ = 312287040. Its totient is φ = 42456960.

The previous prime is 135686093. The next prime is 135686119. The reversal of 135686106 is 601686531.

It is a happy number.

135686106 is a `hidden beast` number, since 1 + 35 + 6 + 8 + 610 + 6 = 666.

135686106 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 (135686093) and next prime (135686119).

It is a super-2 number, since 2×1356861062 = 36821438722886472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36891 + ... + 40401.

It is an arithmetic number, because the mean of its divisors is an integer number (6505980).

Almost surely, 2135686106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135686106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156143520).

135686106 is an abundant number, since it is smaller than the sum of its proper divisors (176600934).

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

135686106 is a wasteful number, since it uses less digits than its factorization.

135686106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 135686106 is about 11648.4379210261. The cubic root of 135686106 is about 513.8603712643.

The spelling of 135686106 in words is "one hundred thirty-five million, six hundred eighty-six thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 113 114 171 226 339 342 678 1017 2034 2147 3511 4294 6441 7022 10533 12882 19323 21066 31599 38646 63198 66709 133418 200127 396743 400254 600381 793486 1190229 1200762 2380458 3570687 7141374 7538117 15076234 22614351 45228702 67843053 135686106