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136312164 = 22323786449
BaseRepresentation
bin10000001111111…
…11010101100100
3100111111101010200
420013333111210
5234343442124
621305350500
73243430362
oct1007772544
9314441120
10136312164
116aa4338a
1239798430
13223188b1
1414164632
15be78bc9
hex81ff564

136312164 has 18 divisors (see below), whose sum is σ = 344566950. Its totient is φ = 45437376.

The previous prime is 136312139. The next prime is 136312199. The reversal of 136312164 is 461213631.

136312164 is a `hidden beast` number, since 1 + 3 + 631 + 21 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125619264 + 10692900 = 11208^2 + 3270^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1893189 + ... + 1893260.

Almost surely, 2136312164 is an apocalyptic number.

It is an amenable number.

136312164 is an abundant number, since it is smaller than the sum of its proper divisors (208254786).

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

136312164 is a wasteful number, since it uses less digits than its factorization.

136312164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786459 (or 3786454 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 136312164 is about 11675.2800394680. The cubic root of 136312164 is about 514.6494790168.

Adding to 136312164 its reverse (461213631), we get a palindrome (597525795).

The spelling of 136312164 in words is "one hundred thirty-six million, three hundred twelve thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3786449 7572898 11359347 15145796 22718694 34078041 45437388 68156082 136312164