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134002008 = 23327972741
BaseRepresentation
bin1111111110010…
…11010101011000
3100100011000012100
413333023111120
5233301031013
621144043400
73214666260
oct777132530
9310130170
10134002008
1169705768
1238a63560
13219ba23a
1413b227a0
15bb6e473
hex7fcb558

134002008 has 96 divisors (see below), whose sum is σ = 419196960. Its totient is φ = 37877760.

The previous prime is 134001983. The next prime is 134002009. The reversal of 134002008 is 800200431.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134002009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47518 + ... + 50258.

It is an arithmetic number, because the mean of its divisors is an integer number (4366635).

Almost surely, 2134002008 is an apocalyptic number.

134002008 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 134002008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209598480).

134002008 is an abundant number, since it is smaller than the sum of its proper divisors (285194952).

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

134002008 is a wasteful number, since it uses less digits than its factorization.

134002008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 134002008 is about 11575.9236348552. The cubic root of 134002008 is about 511.7255507475.

Adding to 134002008 its reverse (800200431), we get a palindrome (934202439).

The spelling of 134002008 in words is "one hundred thirty-four million, two thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 97 126 168 194 252 291 388 504 582 679 776 873 1164 1358 1746 2037 2328 2716 2741 3492 4074 5432 5482 6111 6984 8148 8223 10964 12222 16296 16446 19187 21928 24444 24669 32892 38374 48888 49338 57561 65784 76748 98676 115122 153496 172683 197352 230244 265877 345366 460488 531754 690732 797631 1063508 1381464 1595262 1861139 2127016 2392893 3190524 3722278 4785786 5583417 6381048 7444556 9571572 11166834 14889112 16750251 19143144 22333668 33500502 44667336 67001004 134002008