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135866808 = 23347211389
BaseRepresentation
bin10000001100100…
…10100110111000
3100110122202020000
420012102212320
5234240214213
621252033000
73236564100
oct1006224670
9313582200
10135866808
116a769820
1239602760
13221c0c7c
141408a200
15bddbc73
hex81929b8

135866808 has 240 divisors, whose sum is σ = 484169400. Its totient is φ = 35199360.

The previous prime is 135866779. The next prime is 135866813. The reversal of 135866808 is 808668531.

135866808 is a `hidden beast` number, since 1 + 3 + 586 + 68 + 0 + 8 = 666.

It is a super-2 number, since 2×1358668082 = 36919579032217728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 349078 + ... + 349466.

Almost surely, 2135866808 is an apocalyptic number.

135866808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135866808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242084700).

135866808 is an abundant number, since it is smaller than the sum of its proper divisors (348302592).

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

135866808 is a wasteful number, since it uses less digits than its factorization.

135866808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 135866808 is about 11656.1918309541. The cubic root of 135866808 is about 514.0883838182.

The spelling of 135866808 in words is "one hundred thirty-five million, eight hundred sixty-six thousand, eight hundred eight".