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135661513 = 1317236109
BaseRepresentation
bin10000001011000…
…00011111001001
3100110021022121111
420011200133021
5234212132023
621243410321
73235050421
oct1005403711
9313238544
10135661513
116a639559
12395239a1
132214b6b0
1414035481
15bd9b00d
hex81607c9

135661513 has 12 divisors (see below), whose sum is σ = 155200780. Its totient is φ = 117856512.

The previous prime is 135661481. The next prime is 135661523. The reversal of 135661513 is 315166531.

It can be written as a sum of positive squares in 6 ways, for example, as 28601104 + 107060409 = 5348^2 + 10347^2 .

It is not a de Polignac number, because 135661513 - 25 = 135661481 is a prime.

It is a super-2 number, since 2×1356615132 = 36808092218898338, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135661523) 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 11 ways as a sum of consecutive naturals, for example, 14298 + ... + 21811.

Almost surely, 2135661513 is an apocalyptic number.

135661513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135661513 is a deficient number, since it is larger than the sum of its proper divisors (19539267).

135661513 is a wasteful number, since it uses less digits than its factorization.

135661513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36156 (or 36139 counting only the distinct ones).

The product of its digits is 8100, while the sum is 31.

The square root of 135661513 is about 11647.3822380825. The cubic root of 135661513 is about 513.8293237924.

The spelling of 135661513 in words is "one hundred thirty-five million, six hundred sixty-one thousand, five hundred thirteen".

Divisors: 1 13 17 221 289 3757 36109 469417 613853 7980089 10435501 135661513