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134378213976 = 23343117593803
BaseRepresentation
bin111110100100110010…
…0001101001001011000
3110211212001022120010000
41331021210031021120
54200201310321401
6141422115253000
712465005654406
oct1751144151130
9424761276100
10134378213976
1151a97aa9096
1222062baa160
13c896c7a4a6
14670ab52476
1537673e7186
hex1f4990d258

134378213976 has 160 divisors (see below), whose sum is σ = 388847923200. Its totient is φ = 43311775680.

The previous prime is 134378213953. The next prime is 134378214049. The reversal of 134378213976 is 679312873431.

134378213976 is a `hidden beast` number, since 1 + 3 + 437 + 8 + 2 + 139 + 76 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 35332891 + ... + 35336693.

It is an arithmetic number, because the mean of its divisors is an integer number (2430299520).

Almost surely, 2134378213976 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 134378213976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194423961600).

134378213976 is an abundant number, since it is smaller than the sum of its proper divisors (254469709224).

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

134378213976 is a wasteful number, since it uses less digits than its factorization.

134378213976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611 (or 5598 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 134378213976 in words is "one hundred thirty-four billion, three hundred seventy-eight million, two hundred thirteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 1759 2232 2511 3348 3518 3803 5022 5277 6696 7036 7606 10044 10554 11409 14072 15212 15831 20088 21108 22818 30424 31662 34227 42216 45636 47493 54529 63324 68454 91272 94986 102681 109058 117893 126648 136908 142479 163587 189972 205362 218116 235786 273816 284958 308043 327174 353679 379944 410724 436232 471572 490761 569916 616086 654348 707358 821448 943144 981522 1061037 1139832 1232172 1308696 1414716 1472283 1963044 2122074 2464344 2829432 2944566 3183111 3926088 4244148 4416849 5889132 6366222 6689477 8488296 8833698 9549333 11778264 12732444 13378954 17667396 19098666 20068431 25464888 26757908 35334792 38197332 40136862 53515816 60205293 76394664 80273724 120410586 160547448 180615879 207373787 240821172 361231758 414747574 481642344 541847637 622121361 722463516 829495148 1083695274 1244242722 1444927032 1658990296 1866364083 2167390548 2488485444 3732728166 4334781096 4976970888 5599092249 7465456332 11198184498 14930912664 16797276747 22396368996 33594553494 44792737992 67189106988 134378213976