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134187768 = 2332111313033
BaseRepresentation
bin1111111111110…
…00101011111000
3100100111110000100
413333320223320
5233323002033
621152035400
73216401661
oct777705370
9310443010
10134187768
1169822290
1238b32b60
1321a53960
1413b70368
15bba9513
hex7ff8af8

134187768 has 96 divisors (see below), whose sum is σ = 426993840. Its totient is φ = 37532160.

The previous prime is 134187721. The next prime is 134187769. The reversal of 134187768 is 867781431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134187769) 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 23 ways as a sum of consecutive naturals, for example, 3780 + ... + 16812.

Almost surely, 2134187768 is an apocalyptic number.

134187768 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 134187768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213496920).

134187768 is an abundant number, since it is smaller than the sum of its proper divisors (292806072).

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

134187768 is a wasteful number, since it uses less digits than its factorization.

134187768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13069 (or 13062 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 134187768 is about 11583.9444059439. The cubic root of 134187768 is about 511.9619010550.

The spelling of 134187768 in words is "one hundred thirty-four million, one hundred eighty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 13033 26066 39099 52132 78198 104264 117297 143363 156396 169429 234594 286726 312792 338858 430089 469188 508287 573452 677716 860178 938376 1016574 1146904 1290267 1355432 1524861 1720356 1863719 2033148 2580534 3049722 3440712 3727438 4066296 5161068 5591157 6099444 7454876 10322136 11182314 12198888 14909752 16773471 22364628 33546942 44729256 67093884 134187768