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138436129 = 1337449641
BaseRepresentation
bin10000100000001…
…01111000100001
3100122111021200001
420100011320201
5240414424004
621423100001
73300454606
oct1020057041
9318437601
10138436129
1171164127
123a441601
13228b0590
14145586ad
15c2481a4
hex8405e21

138436129 has 16 divisors (see below), whose sum is σ = 153694800. Its totient is φ = 123863040.

The previous prime is 138436127. The next prime is 138436139. The reversal of 138436129 is 921634831.

It can be written as a sum of positive squares in 8 ways, for example, as 13890529 + 124545600 = 3727^2 + 11160^2 .

It is a cyclic number.

It is not a de Polignac number, because 138436129 - 21 = 138436127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R138436128.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138436121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215649 + ... + 216289.

It is an arithmetic number, because the mean of its divisors is an integer number (9605925).

Almost surely, 2138436129 is an apocalyptic number.

It is an amenable number.

138436129 is a deficient number, since it is larger than the sum of its proper divisors (15258671).

138436129 is a wasteful number, since it uses less digits than its factorization.

138436129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140.

The product of its digits is 31104, while the sum is 37.

The square root of 138436129 is about 11765.8883642503. Note that the first 3 decimals coincide. The cubic root of 138436129 is about 517.3087396401.

The spelling of 138436129 in words is "one hundred thirty-eight million, four hundred thirty-six thousand, one hundred twenty-nine".

Divisors: 1 13 37 449 481 641 5837 8333 16613 23717 215969 287809 308321 3741517 10648933 138436129