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136768 = 262137
BaseRepresentation
bin100001011001000000
320221121111
4201121000
513334033
62533104
71106512
oct413100
9227544
10136768
1193835
1267194
134a338
1437bb2
152a7cd
hex21640

136768 has 14 divisors (see below), whose sum is σ = 271526. Its totient is φ = 68352.

The previous prime is 136753. The next prime is 136769. The reversal of 136768 is 867631.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 53824 = 288^2 + 232^2 .

It is not an unprimeable number, because it can be changed into a prime (136769) 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 as a sum of consecutive naturals, namely, 1005 + ... + 1132.

2136768 is an apocalyptic number.

It is an amenable number.

136768 is a deficient number, since it is larger than the sum of its proper divisors (134758).

136768 is an equidigital number, since it uses as much as digits as its factorization.

136768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2139 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 136768 is about 369.8215786024. The cubic root of 136768 is about 51.5222513580.

The spelling of 136768 in words is "one hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 2137 4274 8548 17096 34192 68384 136768