Search a number
-
+
135086166 = 2327504787
BaseRepresentation
bin10000000110101…
…00000001010110
3100102012002101100
420003110001112
5234040224131
621223210530
73230133135
oct1003240126
9312162340
10135086166
116a286266
12392a6a46
1321ca9857
1413d2591c
15bcd57e6
hex80d4056

135086166 has 12 divisors (see below), whose sum is σ = 292686732. Its totient is φ = 45028716.

The previous prime is 135086141. The next prime is 135086167. The reversal of 135086166 is 661680531.

It is a happy number.

135086166 is a `hidden beast` number, since 1 + 35 + 0 + 8 + 616 + 6 = 666.

It is a super-3 number, since 3×1350861663 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 135086166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135086167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3752376 + ... + 3752411.

It is an arithmetic number, because the mean of its divisors is an integer number (24390561).

Almost surely, 2135086166 is an apocalyptic number.

135086166 is an abundant number, since it is smaller than the sum of its proper divisors (157600566).

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

135086166 is a wasteful number, since it uses less digits than its factorization.

135086166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7504795 (or 7504792 counting only the distinct ones).

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

The square root of 135086166 is about 11622.6574413944. The cubic root of 135086166 is about 513.1019028554.

The spelling of 135086166 in words is "one hundred thirty-five million, eighty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 7504787 15009574 22514361 45028722 67543083 135086166