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135214065 = 3257479133
BaseRepresentation
bin10000000111100…
…11001111110001
3100102102120211100
420003303033301
5234103322230
621230035013
73231205050
oct1003631761
9312376740
10135214065
116a363368
1239348a69
1322022b2c
1413d5a397
15bd0d660
hex80f33f1

135214065 has 48 divisors (see below), whose sum is σ = 273581568. Its totient is φ = 60490368.

The previous prime is 135214061. The next prime is 135214069. The reversal of 135214065 is 560412531.

135214065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135214061) and next prime (135214069).

It is not a de Polignac number, because 135214065 - 22 = 135214061 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135214061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10239 + ... + 19371.

It is an arithmetic number, because the mean of its divisors is an integer number (5699616).

Almost surely, 2135214065 is an apocalyptic number.

135214065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135214065 is an abundant number, since it is smaller than the sum of its proper divisors (138367503).

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

135214065 is a wasteful number, since it uses less digits than its factorization.

135214065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9198 (or 9195 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 135214065 is about 11628.1582806565. The cubic root of 135214065 is about 513.2637859998.

Adding to 135214065 its reverse (560412531), we get a palindrome (695626596).

The spelling of 135214065 in words is "one hundred thirty-five million, two hundred fourteen thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 47 63 105 141 235 315 329 423 705 987 1645 2115 2961 4935 9133 14805 27399 45665 63931 82197 136995 191793 319655 410985 429251 575379 958965 1287753 2146255 2876895 3004757 3863259 6438765 9014271 15023785 19316295 27042813 45071355 135214065