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135726513 = 3138939103
BaseRepresentation
bin10000001011100…
…00010110110001
3100110101121202220
420011300112301
5234221222023
621245031253
73235441056
oct1005602661
9313347686
10135726513
116a68337a
1239555529
1322172160
141405102d
15bdb03e3
hex81705b1

135726513 has 16 divisors (see below), whose sum is σ = 197084160. Its totient is φ = 82583424.

The previous prime is 135726469. The next prime is 135726541. The reversal of 135726513 is 315627531.

It is not a de Polignac number, because 135726513 - 29 = 135726001 is a prime.

It is a super-2 number, since 2×1357265132 = 36843372662278338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135726593) 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 15 ways as a sum of consecutive naturals, for example, 16081 + ... + 23022.

It is an arithmetic number, because the mean of its divisors is an integer number (12317760).

Almost surely, 2135726513 is an apocalyptic number.

135726513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135726513 is a deficient number, since it is larger than the sum of its proper divisors (61357647).

135726513 is a wasteful number, since it uses less digits than its factorization.

135726513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39208.

The product of its digits is 18900, while the sum is 33.

The square root of 135726513 is about 11650.1722304866. The cubic root of 135726513 is about 513.9113750009.

The spelling of 135726513 in words is "one hundred thirty-five million, seven hundred twenty-six thousand, five hundred thirteen".

Divisors: 1 3 13 39 89 267 1157 3471 39103 117309 508339 1525017 3480167 10440501 45242171 135726513