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136146564 = 22323781849
BaseRepresentation
bin10000001110101…
…10111010000100
3100111011221222100
420013112322010
5234323142224
621302032100
73242140521
oct1007267204
9314157870
10136146564
116a93aa24
1239718630
132228b3c8
1414120148
15be44ac9
hex81d6e84

136146564 has 18 divisors (see below), whose sum is σ = 344148350. Its totient is φ = 45382176.

The previous prime is 136146551. The next prime is 136146601. The reversal of 136146564 is 465641631.

It is a happy number.

136146564 is a `hidden beast` number, since 136 + 1 + 465 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 61496964 = 8640^2 + 7842^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3781849 = 136146564 / (1 + 3 + 6 + 1 + 4 + 6 + 5 + 6 + 4).

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, 1890889 + ... + 1890960.

Almost surely, 2136146564 is an apocalyptic number.

It is an amenable number.

136146564 is an abundant number, since it is smaller than the sum of its proper divisors (208001786).

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

136146564 is a wasteful number, since it uses less digits than its factorization.

136146564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781859 (or 3781854 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 136146564 is about 11668.1859772631. The cubic root of 136146564 is about 514.4409857882.

The spelling of 136146564 in words is "one hundred thirty-six million, one hundred forty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3781849 7563698 11345547 15127396 22691094 34036641 45382188 68073282 136146564