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135346133 = 1376113681
BaseRepresentation
bin10000001000100…
…11011111010101
3100102200021222202
420010103133111
5234122034013
621232534245
73232265066
oct1004233725
9312607882
10135346133
116a44360a
12393b1385
132206ac90
1413d9256d
15bd37858
hex81137d5

135346133 has 8 divisors (see below), whose sum is σ = 145959576. Its totient is φ = 124761600.

The previous prime is 135346121. The next prime is 135346147. The reversal of 135346133 is 331643531.

It can be written as a sum of positive squares in 4 ways, for example, as 1203409 + 134142724 = 1097^2 + 11582^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135346133 - 24 = 135346117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135346096 and 135346105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135346033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3053 + ... + 16733.

It is an arithmetic number, because the mean of its divisors is an integer number (18244947).

Almost surely, 2135346133 is an apocalyptic number.

135346133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135346133 is a deficient number, since it is larger than the sum of its proper divisors (10613443).

135346133 is a wasteful number, since it uses less digits than its factorization.

135346133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14455.

The product of its digits is 9720, while the sum is 29.

The square root of 135346133 is about 11633.8356959345. The cubic root of 135346133 is about 513.4308387990.

Adding to 135346133 its reverse (331643531), we get a palindrome (466989664).

The spelling of 135346133 in words is "one hundred thirty-five million, three hundred forty-six thousand, one hundred thirty-three".

Divisors: 1 13 761 9893 13681 177853 10411241 135346133