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134112530304 = 2733149260441
BaseRepresentation
bin111110011100110111…
…0101100111110000000
3110211011112101102122000
41330321232230332000
54144130301432204
6141335504544000
712455301461424
oct1747156547600
9424145342560
10134112530304
1151971033005
1221baa022000
13c853c0620c
1466c3752b84
15374de16039
hex1f39bacf80

134112530304 has 128 divisors (see below), whose sum is σ = 398476260000. Its totient is φ = 44403978240.

The previous prime is 134112530281. The next prime is 134112530359. The reversal of 134112530304 is 403035211431.

It is a happy number.

134112530304 is a `hidden beast` number, since 1 + 341 + 12 + 5 + 3 + 0 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384724 + ... + 645164.

Almost surely, 2134112530304 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 134112530304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199238130000).

134112530304 is an abundant number, since it is smaller than the sum of its proper divisors (264363729696).

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

134112530304 is a wasteful number, since it uses less digits than its factorization.

134112530304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260613 (or 260595 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 134112530304 its reverse (403035211431), we get a palindrome (537147741735).

The spelling of 134112530304 in words is "one hundred thirty-four billion, one hundred twelve million, five hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 149 192 216 288 298 384 432 447 576 596 864 894 1152 1192 1341 1728 1788 2384 2682 3456 3576 4023 4768 5364 7152 8046 9536 10728 14304 16092 19072 21456 28608 32184 42912 57216 64368 85824 128736 171648 257472 260441 514944 520882 781323 1041764 1562646 2083528 2343969 3125292 4167056 4687938 6250584 7031907 8334112 9375876 12501168 14063814 16668224 18751752 25002336 28127628 33336448 37503504 38805709 50004672 56255256 75007008 77611418 100009344 112510512 116417127 150014016 155222836 225021024 232834254 300028032 310445672 349251381 450042048 465668508 620891344 698502762 900084096 931337016 1047754143 1241782688 1397005524 1862674032 2095508286 2483565376 2794011048 3725348064 4191016572 4967130752 5588022096 7450696128 8382033144 11176044192 14901392256 16764066288 22352088384 33528132576 44704176768 67056265152 134112530304