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134185896 = 23341317937
BaseRepresentation
bin1111111111110…
…00001110101000
3100100111100110000
413333320032220
5233322422041
621152023000
73216363345
oct777701650
9310440400
10134185896
1169820939
1238b31a60
1321a52b50
1413b6d7cc
15bba8bb6
hex7ff83a8

134185896 has 160 divisors (see below), whose sum is σ = 429022440. Its totient is φ = 38817792.

The previous prime is 134185889. The next prime is 134185897. The reversal of 134185896 is 698581431.

It can be written as a sum of positive squares in 4 ways, for example, as 76212900 + 57972996 = 8730^2 + 7614^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134185897) 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 39 ways as a sum of consecutive naturals, for example, 142740 + ... + 143676.

Almost surely, 2134185896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134185896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214511220).

134185896 is an abundant number, since it is smaller than the sum of its proper divisors (294836544).

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

134185896 is a wasteful number, since it uses less digits than its factorization.

134185896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 972 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 134185896 is about 11583.8636041694. The cubic root of 134185896 is about 511.9595203186.

The spelling of 134185896 in words is "one hundred thirty-four million, one hundred eighty-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 81 102 104 108 117 136 153 156 162 204 216 221 234 306 312 324 351 408 442 459 468 612 648 663 702 884 918 936 937 1053 1224 1326 1377 1404 1768 1836 1874 1989 2106 2652 2754 2808 2811 3672 3748 3978 4212 5304 5508 5622 5967 7496 7956 8424 8433 11016 11244 11934 12181 15912 15929 16866 17901 22488 23868 24362 25299 31858 33732 35802 36543 47736 47787 48724 50598 63716 67464 71604 73086 75897 95574 97448 101196 109629 127432 143208 143361 146172 151794 191148 202392 207077 219258 286722 292344 303588 328887 382296 414154 430083 438516 573444 607176 621231 657774 828308 860166 877032 986661 1146888 1242462 1290249 1315548 1656616 1720332 1863693 1973322 2484924 2580498 2631096 3440664 3727386 3946644 4969848 5160996 5591079 7454772 7893288 10321992 11182158 14909544 16773237 22364316 33546474 44728632 67092948 134185896