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135016065 = 345389857
BaseRepresentation
bin10000000110000…
…10111010000001
3100102001112020000
420003002322001
5234031003230
621221510213
73226421562
oct1003027201
9312045200
10135016065
116a238628
1239272369
1321c83982
1413d08169
15bcbeb60
hex80c2e81

135016065 has 40 divisors (see below), whose sum is σ = 242934120. Its totient is φ = 71739648.

The previous prime is 135016061. The next prime is 135016081. The reversal of 135016065 is 560610531.

It is a happy number.

135016065 is a `hidden beast` number, since 1 + 3 + 50 + 1 + 606 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24324624 + 110691441 = 4932^2 + 10521^2 .

It is not a de Polignac number, because 135016065 - 22 = 135016061 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 (135016061) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157117 + ... + 157973.

It is an arithmetic number, because the mean of its divisors is an integer number (6073353).

Almost surely, 2135016065 is an apocalyptic number.

135016065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135016065 is a deficient number, since it is larger than the sum of its proper divisors (107918055).

135016065 is an equidigital number, since it uses as much as digits as its factorization.

135016065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 135016065 is about 11619.6413455838. The cubic root of 135016065 is about 513.0131319097.

Adding to 135016065 its reverse (560610531), we get a palindrome (695626596).

The spelling of 135016065 in words is "one hundred thirty-five million, sixteen thousand, sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 389 405 857 1167 1945 2571 3501 4285 5835 7713 10503 12855 17505 23139 31509 38565 52515 69417 115695 157545 333373 347085 1000119 1666865 3000357 5000595 9001071 15001785 27003213 45005355 135016065