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134101008 = 243611497
BaseRepresentation
bin1111111111000…
…11100000010000
3100100100001000000
413333203200100
5233312213013
621150130000
73215561016
oct777434020
9310301000
10134101008
1169773088
1238ab0900
1321a23312
1413b4a8b6
15bb8d973
hex7fe3810

134101008 has 70 divisors (see below), whose sum is σ = 389586734. Its totient is φ = 44696448.

The previous prime is 134101007. The next prime is 134101027. The reversal of 134101008 is 800101431.

It can be written as a sum of positive squares in only one way, i.e., 118984464 + 15116544 = 10908^2 + 3888^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (134101001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5916 + ... + 17412.

Almost surely, 2134101008 is an apocalyptic number.

134101008 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 134101008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194793367).

134101008 is an abundant number, since it is smaller than the sum of its proper divisors (255485726).

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

134101008 is an equidigital number, since it uses as much as digits as its factorization.

134101008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11523 (or 11502 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 134101008 is about 11580.1989620213. The cubic root of 134101008 is about 511.8515398015.

Adding to 134101008 its reverse (800101431), we get a palindrome (934202439).

The spelling of 134101008 in words is "one hundred thirty-four million, one hundred one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11497 11664 22994 34491 45988 68982 91976 103473 137964 183952 206946 275928 310419 413892 551856 620838 827784 931257 1241676 1655568 1862514 2483352 2793771 3725028 4966704 5587542 7450056 8381313 11175084 14900112 16762626 22350168 33525252 44700336 67050504 134101008