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134141537904 = 243113127113023
BaseRepresentation
bin111110011101101110…
…1010110111001110000
3110211020112222011120120
41330323131112321300
54144210213203104
6141342422410240
712456103154613
oct1747335267160
9424215864516
10134141537904
1151986445930
1221bb7890980
13c859c2158a
1466c754417a
153751745cd9
hex1f3b756e70

134141537904 has 160 divisors (see below), whose sum is σ = 390503006208. Its totient is φ = 39310176000.

The previous prime is 134141537869. The next prime is 134141537909. The reversal of 134141537904 is 409735141431.

It is a super-3 number, since 3×1341415379043 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134141537909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44372137 + ... + 44375159.

Almost surely, 2134141537904 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 134141537904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195251503104).

134141537904 is an abundant number, since it is smaller than the sum of its proper divisors (256361468304).

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

134141537904 is a wasteful number, since it uses less digits than its factorization.

134141537904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 134141537904 in words is "one hundred thirty-four billion, one hundred forty-one million, five hundred thirty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2711 2728 3023 4092 5422 5456 6046 8133 8184 9069 10844 12092 16266 16368 18138 21688 24184 29821 32532 33253 36276 43376 48368 59642 65064 66506 72552 84041 89463 93713 99759 119284 130128 133012 145104 168082 178926 187426 199518 238568 252123 266024 281139 336164 357852 374852 399036 477136 504246 532048 562278 672328 715704 749704 798072 924451 1008492 1030843 1124556 1344656 1431408 1499408 1596144 1848902 2016984 2061686 2249112 2773353 3092529 3697804 4033968 4123372 4498224 5546706 6185058 7395608 8195353 8246744 11093412 12370116 14791216 16390706 16493488 22186824 24586059 24740232 32781412 44373648 49172118 49480464 65562824 90148883 98344236 131125648 180297766 196688472 254055943 270446649 360595532 393376944 508111886 540893298 721191064 762167829 1016223772 1081786596 1442382128 1524335658 2032447544 2163573192 2794615373 3048671316 4064895088 4327146384 5589230746 6097342632 8383846119 11178461492 12194685264 16767692238 22356922984 33535384476 44713845968 67070768952 134141537904