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134008654356 = 223271157419797
BaseRepresentation
bin111110011001110001…
…0011100101000010100
3110210220021220222121200
41330303202130220110
54143422203414411
6141321314312500
712452600524203
oct1746342345024
9423807828550
10134008654356
1151918434515
1221b7b288730
13c838536465
1466b3a3323a
153744c47e56
hex1f3389ca14

134008654356 has 144 divisors (see below), whose sum is σ = 346962994560. Its totient is φ = 43600677120.

The previous prime is 134008654309. The next prime is 134008654369. The reversal of 134008654356 is 653456800431.

134008654356 is a `hidden beast` number, since 13 + 40 + 0 + 8 + 6 + 543 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168140950 + ... + 168141746.

It is an arithmetic number, because the mean of its divisors is an integer number (2409465240).

Almost surely, 2134008654356 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 134008654356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173481497280).

134008654356 is an abundant number, since it is smaller than the sum of its proper divisors (212954340204).

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

134008654356 is a wasteful number, since it uses less digits than its factorization.

134008654356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 134008654356 in words is "one hundred thirty-four billion, eight million, six hundred fifty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 157 213 284 314 419 426 471 628 639 797 838 852 942 1257 1278 1413 1594 1676 1884 2391 2514 2556 2826 3188 3771 4782 5028 5652 7173 7542 9564 11147 14346 15084 22294 28692 29749 33441 44588 56587 59498 65783 66882 89247 100323 113174 118996 125129 131566 133764 169761 178494 197349 200646 226348 250258 263132 267741 333943 339522 356988 375387 394698 401292 500516 509283 535482 592047 667886 679044 750774 789396 1001829 1018566 1070964 1126161 1184094 1335772 1501548 2003658 2037132 2252322 2368188 3005487 4007316 4504644 4670593 6010974 8884159 9341186 12021948 14011779 17768318 18682372 23709953 26652477 28023558 35536636 42035337 47419906 52429051 53304954 56047116 71129859 79957431 84070674 94839812 104858102 106609908 142259718 157287153 159914862 168141348 209716204 213389577 284519436 314574306 319829724 426779154 471861459 629148612 853558308 943722918 1887445836 3722462621 7444925242 11167387863 14889850484 22334775726 33502163589 44669551452 67004327178 134008654356