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134347120864 = 25112234335083
BaseRepresentation
bin111110100011110110…
…1100110000011100000
3110211202212210212101021
41331013231212003200
54200120330331424
6141415045015224
712464150454055
oct1750755460340
9424685725337
10134347120864
1151a814a1400
12220546b4514
13c8906b1ab8
14670697b02c
1537648044e4
hex1f47b660e0

134347120864 has 144 divisors (see below), whose sum is σ = 310431090816. Its totient is φ = 57051751680.

The previous prime is 134347120847. The next prime is 134347120931. The reversal of 134347120864 is 468021743431.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 134347120864.

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, 3811867 + ... + 3846949.

It is an arithmetic number, because the mean of its divisors is an integer number (2155771464).

Almost surely, 2134347120864 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 134347120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155215545408).

134347120864 is an abundant number, since it is smaller than the sum of its proper divisors (176083969952).

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

134347120864 is a wasteful number, since it uses less digits than its factorization.

134347120864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35181 (or 35162 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 134347120864 in words is "one hundred thirty-four billion, three hundred forty-seven million, one hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 23 32 43 44 46 86 88 92 121 172 176 184 242 253 344 352 368 473 484 506 688 736 946 968 989 1012 1376 1892 1936 1978 2024 2783 3784 3872 3956 4048 5203 5566 7568 7912 8096 10406 10879 11132 15136 15824 20812 21758 22264 31648 35083 41624 43516 44528 70166 83248 87032 89056 119669 140332 166496 174064 239338 280664 348128 385913 478676 561328 771826 806909 957352 1122656 1508569 1543652 1613818 1914704 3017138 3087304 3227636 3829408 4245043 6034276 6174608 6455272 8490086 8875999 12068552 12349216 12910544 16594259 16980172 17751998 24137104 25821088 33188518 33960344 34697087 35503996 48274208 66377036 67920688 69394174 71007992 97635989 132754072 135841376 138788348 142015984 182536849 195271978 265508144 277576696 284031968 365073698 381667957 390543956 531016288 555153392 730147396 763335914 781087912 1110306784 1460294792 1526671828 1562175824 2920589584 3053343656 3124351648 4198347527 5841179168 6106687312 8396695054 12213374624 16793390108 33586780216 67173560432 134347120864