Search a number
-
+
134738176536 = 233214919963113
BaseRepresentation
bin111110101111100000…
…1010110101000011000
3110212210010122112220200
41331133001112220120
54201420433122121
6141521534422200
712506636414055
oct1753701265030
9425703575820
10134738176536
1152162208307
1222143661960
13c9237111a2
14674289402c
153788ceca26
hex1f5f056a18

134738176536 has 96 divisors (see below), whose sum is σ = 369216900000. Its totient is φ = 44386417152.

The previous prime is 134738176499. The next prime is 134738176589. The reversal of 134738176536 is 635671837431.

134738176536 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 38 + 1 + 76 + 536 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2103316 + ... + 2166428.

It is an arithmetic number, because the mean of its divisors is an integer number (3846009375).

Almost surely, 2134738176536 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 134738176536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184608450000).

134738176536 is an abundant number, since it is smaller than the sum of its proper divisors (234478723464).

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

134738176536 is a wasteful number, since it uses less digits than its factorization.

134738176536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63473 (or 63466 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 134738176536 in words is "one hundred thirty-four billion, seven hundred thirty-eight million, one hundred seventy-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 199 298 398 447 596 597 796 894 1192 1194 1341 1592 1788 1791 2388 2682 3576 3582 4776 5364 7164 10728 14328 29651 59302 63113 88953 118604 126226 177906 189339 237208 252452 266859 355812 378678 504904 533718 568017 711624 757356 1067436 1136034 1514712 2134872 2272068 4544136 9403837 12559487 18807674 25118974 28211511 37615348 37678461 50237948 56423022 75230696 75356922 84634533 100475896 112846044 113035383 150713844 169269066 225692088 226070766 301427688 338538132 452141532 677076264 904283064 1871363563 3742727126 5614090689 7485454252 11228181378 14970908504 16842272067 22456362756 33684544134 44912725512 67369088268 134738176536