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135332613 = 3413128521
BaseRepresentation
bin10000001000100…
…00001100000101
3100102122121110000
420010100030011
5234121120423
621232351513
73232210503
oct1004201405
9312577400
10135332613
116a434439
12393a5599
1322064a90
1413d8b673
15bd33843
hex8110305

135332613 has 20 divisors (see below), whose sum is σ = 217716268. Its totient is φ = 83280960.

The previous prime is 135332591. The next prime is 135332651. The reversal of 135332613 is 316233531.

It is a happy number.

135332613 is a `hidden beast` number, since 13 + 5 + 3 + 32 + 613 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46539684 + 88792929 = 6822^2 + 9423^2 .

It is not a de Polignac number, because 135332613 - 222 = 131138309 is a prime.

It is a super-2 number, since 2×1353326132 = 36629832282815538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135332663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63208 + ... + 65313.

Almost surely, 2135332613 is an apocalyptic number.

135332613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135332613 is a deficient number, since it is larger than the sum of its proper divisors (82383655).

135332613 is a wasteful number, since it uses less digits than its factorization.

135332613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128546 (or 128537 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 135332613 is about 11633.2546176898. The cubic root of 135332613 is about 513.4137423467.

The spelling of 135332613 in words is "one hundred thirty-five million, three hundred thirty-two thousand, six hundred thirteen".

Divisors: 1 3 9 13 27 39 81 117 351 1053 128521 385563 1156689 1670773 3470067 5012319 10410201 15036957 45110871 135332613