Search a number
-
+
135054315 = 325112511087
BaseRepresentation
bin10000000110011…
…00001111101011
3100102010110200200
420003030033223
5234033214230
621222403243
73226641234
oct1003141753
9312113620
10135054315
116a264340
1239290523
1321c981c6
1413d1808b
15bccb160
hex80cc3eb

135054315 has 48 divisors (see below), whose sum is σ = 256628736. Its totient is φ = 65160000.

The previous prime is 135054313. The next prime is 135054317. The reversal of 135054315 is 513450531.

It is an interprime number because it is at equal distance from previous prime (135054313) and next prime (135054317).

It is not a de Polignac number, because 135054315 - 21 = 135054313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135054313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123702 + ... + 124788.

It is an arithmetic number, because the mean of its divisors is an integer number (5346432).

Almost surely, 2135054315 is an apocalyptic number.

135054315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135054315 is a deficient number, since it is larger than the sum of its proper divisors (121574421).

135054315 is a wasteful number, since it uses less digits than its factorization.

135054315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 135054315 is about 11621.2871490210. The cubic root of 135054315 is about 513.0615728107.

The spelling of 135054315 in words is "one hundred thirty-five million, fifty-four thousand, three hundred fifteen".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 251 495 753 1087 1255 2259 2761 3261 3765 5435 8283 9783 11295 11957 13805 16305 24849 35871 41415 48915 59785 107613 124245 179355 272837 538065 818511 1364185 2455533 3001207 4092555 9003621 12277665 15006035 27010863 45018105 135054315