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135347537 = 132800873
BaseRepresentation
bin10000001000100…
…11110101010001
3100102200100220202
420010103311101
5234122110122
621232544545
73232302143
oct1004236521
9312610822
10135347537
116a444676
12393b2155
132206b800
1413d92c93
15bd37e92
hex8113d51

135347537 has 6 divisors (see below), whose sum is σ = 146559942. Its totient is φ = 124936032.

The previous prime is 135347533. The next prime is 135347543. The reversal of 135347537 is 735743531.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 16777216 + 118570321 = 4096^2 + 10889^2 .

It is not a de Polignac number, because 135347537 - 22 = 135347533 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135347537.

It is not an unprimeable number, because it can be changed into a prime (135347533) 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 5 ways as a sum of consecutive naturals, for example, 400268 + ... + 400605.

It is an arithmetic number, because the mean of its divisors is an integer number (24426657).

Almost surely, 2135347537 is an apocalyptic number.

It is an amenable number.

135347537 is a deficient number, since it is larger than the sum of its proper divisors (11212405).

135347537 is an equidigital number, since it uses as much as digits as its factorization.

135347537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800899 (or 800886 counting only the distinct ones).

The product of its digits is 132300, while the sum is 38.

The square root of 135347537 is about 11633.8960370118. The cubic root of 135347537 is about 513.4326141345.

The spelling of 135347537 in words is "one hundred thirty-five million, three hundred forty-seven thousand, five hundred thirty-seven".

Divisors: 1 13 169 800873 10411349 135347537