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136812168 = 23321900169
BaseRepresentation
bin10000010011110…
…01011010001000
3100112102210000100
420021321122020
5240010442133
621324205400
73250612203
oct1011713210
9315383010
10136812168
1170255009
1239999860
132246235c
141425493a
15c026e13
hex8279688

136812168 has 24 divisors (see below), whose sum is σ = 370533150. Its totient is φ = 45604032.

The previous prime is 136812163. The next prime is 136812187. The reversal of 136812168 is 861218631.

It can be written as a sum of positive squares in only one way, i.e., 130370724 + 6441444 = 11418^2 + 2538^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (136812161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 950013 + ... + 950156.

Almost surely, 2136812168 is an apocalyptic number.

136812168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136812168 is an abundant number, since it is smaller than the sum of its proper divisors (233720982).

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

136812168 is a wasteful number, since it uses less digits than its factorization.

136812168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900181 (or 1900174 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 136812168 is about 11696.6733732288. The cubic root of 136812168 is about 515.2779697750.

The spelling of 136812168 in words is "one hundred thirty-six million, eight hundred twelve thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1900169 3800338 5700507 7600676 11401014 15201352 17101521 22802028 34203042 45604056 68406084 136812168