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134988209304 = 233136146315319
BaseRepresentation
bin111110110110111101…
…1001001110010011000
3110220102120010112101120
41331231323021302120
54202423440144204
6142002425445240
712516063563424
oct1755573116230
9426376115346
10134988209304
1152280363663
12221b3340820
13c963465780
146767b7bb84
1537a0c3b6d9
hex1f6dec9c98

134988209304 has 128 divisors (see below), whose sum is σ = 370209638400. Its totient is φ = 40763036160.

The previous prime is 134988209303. The next prime is 134988209329. The reversal of 134988209304 is 403902889431.

It is a super-2 number, since 2×1349882093042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134988209303) 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, 8804157 + ... + 8819475.

It is an arithmetic number, because the mean of its divisors is an integer number (2892262800).

Almost surely, 2134988209304 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 134988209304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185104819200).

134988209304 is an abundant number, since it is smaller than the sum of its proper divisors (235221429096).

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

134988209304 is a wasteful number, since it uses less digits than its factorization.

134988209304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15865 (or 15861 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 134988209304 in words is "one hundred thirty-four billion, nine hundred eighty-eight million, two hundred nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 463 488 732 793 926 1389 1464 1586 1852 2379 2778 3172 3704 4758 5556 6019 6344 9516 11112 12038 15319 18057 19032 24076 28243 30638 36114 45957 48152 56486 61276 72228 84729 91914 112972 122552 144456 169458 183828 199147 225944 338916 367159 367656 398294 597441 677832 734318 796588 934459 1101477 1194882 1468636 1593176 1868918 2202954 2389764 2803377 2937272 3737836 4405908 4779528 5606754 7092697 7475672 8811816 11213508 12147967 14185394 21278091 22427016 24295934 28370788 36443901 42556182 48591868 56741576 72887802 85112364 92205061 97183736 145775604 170224728 184410122 276615183 291551208 368820244 432654517 553230366 737640488 865309034 1106460732 1297963551 1730618068 2212921464 2595927102 3461236136 5191854204 5624508721 10383708408 11249017442 16873526163 22498034884 33747052326 44996069768 67494104652 134988209304