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163136142 = 232132392917
BaseRepresentation
bin10011011100101…
…00001010001110
3102100222011201100
421232110022032
5313230324032
624104323530
74020430401
oct1156241216
9370864640
10163136142
11840a4664
12467735a6
1327a4b080
1417947d38
15e4c697c
hex9b9428e

163136142 has 48 divisors (see below), whose sum is σ = 382374720. Its totient is φ = 49968576.

The previous prime is 163136137. The next prime is 163136191. The reversal of 163136142 is 241631361.

163136142 is a `hidden beast` number, since 16 + 31 + 3 + 614 + 2 = 666.

It is a super-2 number, since 2×1631361422 = 53226801653288328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 54468 + ... + 57384.

It is an arithmetic number, because the mean of its divisors is an integer number (7966140).

Almost surely, 2163136142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163136142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191187360).

163136142 is an abundant number, since it is smaller than the sum of its proper divisors (219238578).

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

163136142 is a wasteful number, since it uses less digits than its factorization.

163136142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3174 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 163136142 is about 12772.4759541758. The cubic root of 163136142 is about 546.4075972689.

It can be divided in two parts, 1631 and 36142, that added together give a palindrome (37773).

The spelling of 163136142 in words is "one hundred sixty-three million, one hundred thirty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 239 478 717 1434 2151 2917 3107 4302 5834 6214 8751 9321 17502 18642 26253 27963 37921 52506 55926 75842 113763 227526 341289 682578 697163 1394326 2091489 4182978 6274467 9063119 12548934 18126238 27189357 54378714 81568071 163136142