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134338100460 = 223519319136929
BaseRepresentation
bin111110100011100101…
…1001011110011101100
3110211202020211120201020
41331013023023303230
54200111023203320
6141414123414140
712464011004364
oct1750713136354
9424666746636
10134338100460
1151a773a0223
1222051684350
13c88b874095
1467056ad9a4
153763b21940
hex1f472cbcec

134338100460 has 96 divisors (see below), whose sum is σ = 396078681600. Its totient is φ = 33926492160.

The previous prime is 134338100447. The next prime is 134338100461. The reversal of 134338100460 is 64001833431.

134338100460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (134338100461) 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, 3619276 + ... + 3656204.

It is an arithmetic number, because the mean of its divisors is an integer number (4125819600).

Almost surely, 2134338100460 is an apocalyptic number.

134338100460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134338100460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198039340800).

134338100460 is an abundant number, since it is smaller than the sum of its proper divisors (261740581140).

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

134338100460 is a wasteful number, since it uses less digits than its factorization.

134338100460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40151 (or 40149 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 134338100460 its reverse (64001833431), we get a palindrome (198339933891).

The spelling of 134338100460 in words is "one hundred thirty-four billion, three hundred thirty-eight million, one hundred thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 3191 6382 9573 12764 15955 19146 31910 36929 38292 47865 60629 63820 73858 95730 110787 121258 147716 181887 184645 191460 221574 242516 303145 363774 369290 443148 553935 606290 701651 727548 738580 909435 1107870 1212580 1403302 1818870 2104953 2215740 2806604 3508255 3637740 4209906 7016510 8419812 10524765 14033020 21049530 42099060 117840439 235680878 353521317 471361756 589202195 707042634 1178404390 1414085268 1767606585 2238968341 2356808780 3535213170 4477936682 6716905023 7070426340 8955873364 11194841705 13433810046 22389683410 26867620092 33584525115 44779366820 67169050230 134338100460