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135363423 = 3132313853
BaseRepresentation
bin10000001000101…
…11101101011111
3100102201011201010
420010113231133
5234123112143
621233150303
73232366356
oct1004275537
9312634633
10135363423
116a4555a8
12393bb393
1322075b00
1413d9899d
15bd3ca33
hex8117b5f

135363423 has 24 divisors (see below), whose sum is σ = 196290192. Its totient is φ = 82937088.

The previous prime is 135363413. The next prime is 135363433. The reversal of 135363423 is 324363531.

135363423 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (135363413) and next prime (135363433).

It is not a de Polignac number, because 135363423 - 29 = 135362911 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135363413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158265 + ... + 159117.

It is an arithmetic number, because the mean of its divisors is an integer number (8178758).

Almost surely, 2135363423 is an apocalyptic number.

135363423 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

135363423 is a deficient number, since it is larger than the sum of its proper divisors (60926769).

135363423 is a wasteful number, since it uses less digits than its factorization.

135363423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1182 counting only the distinct ones).

The product of its digits is 19440, while the sum is 30.

The square root of 135363423 is about 11634.5787633244. The cubic root of 135363423 is about 513.4527008722.

The spelling of 135363423 in words is "one hundred thirty-five million, three hundred sixty-three thousand, four hundred twenty-three".

Divisors: 1 3 13 39 169 313 507 853 939 2559 4069 11089 12207 33267 52897 144157 158691 266989 432471 800967 3470857 10412571 45121141 135363423