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135130014 = 232192341419
BaseRepresentation
bin10000000110111…
…10101110011110
3100102021022112100
420003132232132
5234043130024
621224145530
73230405025
oct1003365636
9312238470
10135130014
116a3061a8
12393082a6
1321cc37b6
1413d378bc
15bce37c9
hex80deb9e

135130014 has 96 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 39726720.

The previous prime is 135130013. The next prime is 135130027. The reversal of 135130014 is 410031531.

135130014 is a `hidden beast` number, since 1 + 351 + 300 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135130013) 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, 322297 + ... + 322715.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2135130014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135130014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

135130014 is an abundant number, since it is smaller than the sum of its proper divisors (195090786).

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

135130014 is a wasteful number, since it uses less digits than its factorization.

135130014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135130014 is about 11624.5436039442. The cubic root of 135130014 is about 513.1574132482.

Adding to 135130014 its reverse (410031531), we get a palindrome (545161545).

The spelling of 135130014 in words is "one hundred thirty-five million, one hundred thirty thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 23 38 41 46 57 69 82 114 123 138 171 207 246 342 369 414 419 437 738 779 838 874 943 1257 1311 1558 1886 2337 2514 2622 2829 3771 3933 4674 5658 7011 7542 7866 7961 8487 9637 14022 15922 16974 17179 17917 19274 23883 28911 34358 35834 47766 51537 53751 57822 71649 86733 103074 107502 143298 154611 161253 173466 183103 309222 322506 326401 366206 395117 549309 652802 790234 979203 1098618 1185351 1647927 1958406 2370702 2937609 3295854 3556053 5875218 7112106 7507223 15014446 22521669 45043338 67565007 135130014