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135160515 = 3357157911
BaseRepresentation
bin10000000111001…
…10001011000011
3100102022212101000
420003212023003
5234100114030
621224543043
73230562660
oct1003461303
9312285330
10135160515
116a327106
1239321a83
1322004649
1413d44a67
15bcec860
hex80e62c3

135160515 has 64 divisors (see below), whose sum is σ = 276664320. Its totient is φ = 61326720.

The previous prime is 135160513. The next prime is 135160537. The reversal of 135160515 is 515061531.

135160515 is a `hidden beast` number, since 1 + 3 + 51 + 605 + 1 + 5 = 666.

It is not a de Polignac number, because 135160515 - 21 = 135160513 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (135160513) 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 63 ways as a sum of consecutive naturals, for example, 147910 + ... + 148820.

It is an arithmetic number, because the mean of its divisors is an integer number (4322880).

Almost surely, 2135160515 is an apocalyptic number.

135160515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135160515 is an abundant number, since it is smaller than the sum of its proper divisors (141503805).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135160515 is a wasteful number, since it uses less digits than its factorization.

135160515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 135160515 is about 11625.8554523958. The cubic root of 135160515 is about 513.1960196153.

The spelling of 135160515 in words is "one hundred thirty-five million, one hundred sixty thousand, five hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 157 189 315 471 785 911 945 1099 1413 2355 2733 3297 4239 4555 5495 6377 7065 8199 9891 13665 16485 19131 21195 24597 29673 31885 40995 49455 57393 95655 122985 143027 148365 172179 286965 429081 715135 860895 1001189 1287243 2145405 3003567 3861729 5005945 6436215 9010701 15017835 19308645 27032103 45053505 135160515