Search a number
-
+
135142623 = 327111911021
BaseRepresentation
bin10000000111000…
…01110011011111
3100102021221211100
420003201303133
5234044030443
621224324143
73230456550
oct1003416337
9312257740
10135142623
116a314720
1239313653
1321cc9465
1413d3c327
15bce73d3
hex80e1cdf

135142623 has 48 divisors (see below), whose sum is σ = 244887552. Its totient is φ = 69768000.

The previous prime is 135142619. The next prime is 135142661. The reversal of 135142623 is 326241531.

135142623 is a `hidden beast` number, since 1 + 35 + 1 + 4 + 2 + 623 = 666.

135142623 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135142623 - 22 = 135142619 is a prime.

It is a hoax number, since the sum of its digits (27) 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 (135142603) 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, 131853 + ... + 132873.

It is an arithmetic number, because the mean of its divisors is an integer number (5101824).

Almost surely, 2135142623 is an apocalyptic number.

135142623 is a deficient number, since it is larger than the sum of its proper divisors (109744929).

135142623 is a wasteful number, since it uses less digits than its factorization.

135142623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1233 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 135142623 is about 11625.0859351662. The cubic root of 135142623 is about 513.1733736811.

The spelling of 135142623 in words is "one hundred thirty-five million, one hundred forty-two thousand, six hundred twenty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 191 231 573 693 1021 1337 1719 2101 3063 4011 6303 7147 9189 11231 12033 14707 18909 21441 33693 44121 64323 78617 101079 132363 195011 235851 585033 707553 1365077 1755099 2145121 4095231 6435363 12285693 15015847 19306089 45047541 135142623