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136129360 = 2451701617
BaseRepresentation
bin10000001110100…
…10101101010000
3100111011002101011
420013102231100
5234322114420
621301420304
73242036413
oct1007225520
9314132334
10136129360
116a929004
123970a694
1322283623
1414117b7a
15be3e95a
hex81d2b50

136129360 has 20 divisors (see below), whose sum is σ = 316500948. Its totient is φ = 54451712.

The previous prime is 136129351. The next prime is 136129361. The reversal of 136129360 is 63921631.

It can be written as a sum of positive squares in 2 ways, for example, as 83247376 + 52881984 = 9124^2 + 7272^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136129361) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 850729 + ... + 850888.

Almost surely, 2136129360 is an apocalyptic number.

136129360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136129360 is an abundant number, since it is smaller than the sum of its proper divisors (180371588).

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

136129360 is a wasteful number, since it uses less digits than its factorization.

136129360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701630 (or 1701624 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 136129360 is about 11667.4487356920. The cubic root of 136129360 is about 514.4193159659.

The spelling of 136129360 in words is "one hundred thirty-six million, one hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1701617 3403234 6806468 8508085 13612936 17016170 27225872 34032340 68064680 136129360