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136129068 = 223237102199
BaseRepresentation
bin10000001110100…
…10101000101100
3100111011001222100
420013102220230
5234322112233
621301415100
73242035515
oct1007225054
9314131870
10136129068
116a928869
123970a490
132228345a
1414117a0c
15be3e813
hex81d2a2c

136129068 has 36 divisors (see below), whose sum is σ = 353407600. Its totient is φ = 44149536.

The previous prime is 136129033. The next prime is 136129079. The reversal of 136129068 is 860921631.

136129068 is a `hidden beast` number, since 1 + 361 + 290 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1361290682 = 37062246309097248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 49768 + ... + 52431.

Almost surely, 2136129068 is an apocalyptic number.

136129068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136129068 is an abundant number, since it is smaller than the sum of its proper divisors (217278532).

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

136129068 is a wasteful number, since it uses less digits than its factorization.

136129068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102246 (or 102241 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 136129068 is about 11667.4362222384. The cubic root of 136129068 is about 514.4189481526.

The spelling of 136129068 in words is "one hundred thirty-six million, one hundred twenty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 102199 204398 306597 408796 613194 919791 1226388 1839582 3679164 3781363 7562726 11344089 15125452 22688178 34032267 45376356 68064534 136129068