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163137252 = 22323231829
BaseRepresentation
bin10011011100101…
…00011011100100
3102100222020020110
421232110123210
5313230343002
624104333020
74020433545
oct1156243344
9370866213
10163137252
11840a5483
1246774170
1327a4b725
14179484cc
15e4c6e6c
hex9b946e4

163137252 has 72 divisors (see below), whose sum is σ = 411255040. Its totient is φ = 50276160.

The previous prime is 163137223. The next prime is 163137259. The reversal of 163137252 is 252731361.

163137252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1631372522 = 53227525980223008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (163137259) 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, 196374 + ... + 197202.

Almost surely, 2163137252 is an apocalyptic number.

163137252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163137252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205627520).

163137252 is an abundant number, since it is smaller than the sum of its proper divisors (248117788).

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

163137252 is a wasteful number, since it uses less digits than its factorization.

163137252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 888 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 163137252 is about 12772.5194069142. The cubic root of 163137252 is about 546.4088365428.

It can be divided in two parts, 1631 and 37252, that added together give a palindrome (38883).

The spelling of 163137252 in words is "one hundred sixty-three million, one hundred thirty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 529 713 829 1058 1426 1587 1658 2116 2139 2487 2852 3174 3316 4278 4974 6348 8556 9948 16399 19067 25699 32798 38134 49197 51398 57201 65596 76268 77097 98394 102796 114402 154194 196788 228804 308388 438541 591077 877082 1182154 1315623 1754164 1773231 2364308 2631246 3546462 5262492 7092924 13594771 27189542 40784313 54379084 81568626 163137252