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134363465688 = 233198313725913
BaseRepresentation
bin111110100100010101…
…1111100011111011000
3110211211000120021021010
41331020223330133120
54200134021400223
6141420431213520
712464436420444
oct1751053743730
9424730507233
10134363465688
1151a8a745521
122205a0772a0
13c893bb55aa
146708bd3824
153765e82393
hex1f48afc7d8

134363465688 has 128 divisors (see below), whose sum is σ = 360474105600. Its totient is φ = 41611769856.

The previous prime is 134363465683. The next prime is 134363465759. The reversal of 134363465688 is 886564363431.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134363465681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5172220 + ... + 5198132.

It is an arithmetic number, because the mean of its divisors is an integer number (2816203950).

Almost surely, 2134363465688 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 134363465688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180237052800).

134363465688 is an abundant number, since it is smaller than the sum of its proper divisors (226110639912).

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

134363465688 is a wasteful number, since it uses less digits than its factorization.

134363465688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26161 (or 26157 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 57.

The spelling of 134363465688 in words is "one hundred thirty-four billion, three hundred sixty-three million, four hundred sixty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 83 114 137 152 166 228 249 274 332 411 456 498 548 664 822 996 1096 1577 1644 1992 2603 3154 3288 4731 5206 6308 7809 9462 10412 11371 12616 15618 18924 20824 22742 25913 31236 34113 37848 45484 51826 62472 68226 77739 90968 103652 136452 155478 207304 216049 272904 310956 432098 492347 621912 648147 864196 984694 1296294 1477041 1728392 1969388 2150779 2592588 2954082 3550081 3938776 4301558 5185176 5908164 6452337 7100162 8603116 10650243 11816328 12904674 14200324 17206232 21300486 25809348 28400648 40864801 42600972 51618696 67451539 81729602 85201944 122594403 134903078 163459204 202354617 245188806 269806156 294656723 326918408 404709234 490377612 539612312 589313446 809418468 883970169 980755224 1178626892 1618836936 1767940338 2357253784 3535880676 5598477737 7071761352 11196955474 16795433211 22393910948 33590866422 44787821896 67181732844 134363465688