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135107629 is a prime number
BaseRepresentation
bin10000000110110…
…01010000101101
3100102020011211021
420003121100231
5234041421004
621223454141
73230252536
oct1003312055
9312204737
10135107629
116a2a03a8
12392b7351
1321cb6557
1413d2d68d
15bcdbd54
hex80d942d

135107629 has 2 divisors, whose sum is σ = 135107630. Its totient is φ = 135107628.

The previous prime is 135107611. The next prime is 135107633. The reversal of 135107629 is 926701531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112402404 + 22705225 = 10602^2 + 4765^2 .

It is a cyclic number.

It is not a de Polignac number, because 135107629 - 29 = 135107117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135107594 and 135107603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135107639) 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 as a sum of consecutive naturals, namely, 67553814 + 67553815.

It is an arithmetic number, because the mean of its divisors is an integer number (67553815).

Almost surely, 2135107629 is an apocalyptic number.

It is an amenable number.

135107629 is a deficient number, since it is larger than the sum of its proper divisors (1).

135107629 is an equidigital number, since it uses as much as digits as its factorization.

135107629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 135107629 is about 11623.5807305666. The cubic root of 135107629 is about 513.1290759388.

The spelling of 135107629 in words is "one hundred thirty-five million, one hundred seven thousand, six hundred twenty-nine".