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134365227948 = 22337178999347
BaseRepresentation
bin111110100100011001…
…0101010101110101100
3110211211010212210122000
41331020302222232230
54200134444243243
6141420533052300
712464460410310
oct1751062525654
9424733783560
10134365227948
1151a90739536
122205a787090
13c894381753
146709131b40
1537661ce5d3
hex1f48caabac

134365227948 has 96 divisors (see below), whose sum is σ = 398345740800. Its totient is φ = 38368219968.

The previous prime is 134365227943. The next prime is 134365227961. The reversal of 134365227948 is 849722563431.

134365227948 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 6 + 522 + 79 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 134365227894 and 134365227903.

It is not an unprimeable number, because it can be changed into a prime (134365227943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1302811 + ... + 1402157.

It is an arithmetic number, because the mean of its divisors is an integer number (4149434800).

Almost surely, 2134365227948 is an apocalyptic number.

134365227948 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 134365227948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199172870400).

134365227948 is an abundant number, since it is smaller than the sum of its proper divisors (263980512852).

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

134365227948 is a wasteful number, since it uses less digits than its factorization.

134365227948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101156 (or 101148 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 134365227948 in words is "one hundred thirty-four billion, three hundred sixty-five million, two hundred twenty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1789 3578 5367 7156 10734 12523 16101 21468 25046 32202 37569 48303 50092 64404 75138 96606 99347 112707 150276 193212 198694 225414 298041 338121 397388 450828 596082 676242 695429 894123 1192164 1352484 1390858 1788246 2086287 2682369 2781716 3576492 4172574 5364738 6258861 8345148 10729476 12517722 18776583 25035444 37553166 75106332 177731783 355463566 533195349 710927132 1066390698 1244122481 1599586047 2132781396 2488244962 3199172094 3732367443 4798758141 4976489924 6398344188 7464734886 9597516282 11197102329 14929469772 19195032564 22394204658 33591306987 44788409316 67182613974 134365227948