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136512 = 263379
BaseRepresentation
bin100001010101000000
320221021000
4201111000
513332022
62532000
71105665
oct412500
9227230
10136512
1193622
1267000
134a19c
1437a6c
152a6ac
hex21540

136512 has 56 divisors (see below), whose sum is σ = 406400. Its totient is φ = 44928.

The previous prime is 136511. The next prime is 136519. The reversal of 136512 is 215631.

136512 is a `hidden beast` number, since 13 + 651 + 2 = 666.

It is a super-2 number, since 2×1365122 = 37271052288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136512.

It is not an unprimeable number, because it can be changed into a prime (136511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1689 + ... + 1767.

2136512 is an apocalyptic number.

136512 is a gapful number since it is divisible by the number (12) 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 136512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203200).

136512 is an abundant number, since it is smaller than the sum of its proper divisors (269888).

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

136512 is an equidigital number, since it uses as much as digits as its factorization.

136512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 136512 is about 369.4753036402. The cubic root of 136512 is about 51.4900851243.

The spelling of 136512 in words is "one hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 432 474 576 632 711 864 948 1264 1422 1728 1896 2133 2528 2844 3792 4266 5056 5688 7584 8532 11376 15168 17064 22752 34128 45504 68256 136512