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134130168 = 2336109211
BaseRepresentation
bin1111111111010…
…10100111111000
3100100101112000000
413333222213320
5233314131133
621150513000
73216042024
oct777524770
9310345000
10134130168
1169792a87
1238b05760
1321a33683
1413b57384
15bb97413
hex7fea9f8

134130168 has 112 divisors (see below), whose sum is σ = 382331400. Its totient is φ = 44089920.

The previous prime is 134130167. The next prime is 134130173. The reversal of 134130168 is 861031431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134130163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 635583 + ... + 635793.

Almost surely, 2134130168 is an apocalyptic number.

134130168 is a gapful number since it is divisible by the number (18) 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 134130168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191165700).

134130168 is an abundant number, since it is smaller than the sum of its proper divisors (248201232).

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

134130168 is a wasteful number, since it uses less digits than its factorization.

134130168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 134130168 is about 11581.4579393097. The cubic root of 134130168 is about 511.8886374823. Note that the first 3 decimals are identical.

Adding to 134130168 its reverse (861031431), we get a palindrome (995161599).

The spelling of 134130168 in words is "one hundred thirty-four million, one hundred thirty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 211 216 218 243 324 327 422 436 486 633 648 654 729 844 872 972 981 1266 1308 1458 1688 1899 1944 1962 2532 2616 2916 2943 3798 3924 5064 5697 5832 5886 7596 7848 8829 11394 11772 15192 17091 17658 22788 22999 23544 26487 34182 35316 45576 45998 51273 52974 68364 68997 70632 79461 91996 102546 105948 136728 137994 153819 158922 183992 205092 206991 211896 275988 307638 317844 410184 413982 551976 615276 620973 635688 827964 1230552 1241946 1655928 1862919 2483892 3725838 4967784 5588757 7451676 11177514 14903352 16766271 22355028 33532542 44710056 67065084 134130168