Search a number
-
+
134264126130 = 2357193767273
BaseRepresentation
bin111110100001011000…
…0111111101010110010
3110211120002122022000020
41331002300333222302
54144433104014010
6141402522104310
712462122145651
oct1750260775262
9424502568006
10134264126130
1151a39665212
122203094b096
13c8794435a4
1466d9935198
15375c3ad470
hex1f42c3fab2

134264126130 has 64 divisors (see below), whose sum is σ = 327126014208. Its totient is φ = 35261291520.

The previous prime is 134264126093. The next prime is 134264126273. The reversal of 134264126130 is 31621462431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 134264126091 and 134264126100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1962174 + ... + 2029446.

It is an arithmetic number, because the mean of its divisors is an integer number (5111343972).

Almost surely, 2134264126130 is an apocalyptic number.

134264126130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134264126130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163563007104).

134264126130 is an abundant number, since it is smaller than the sum of its proper divisors (192861888078).

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

134264126130 is a wasteful number, since it uses less digits than its factorization.

134264126130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68291.

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

Adding to 134264126130 its reverse (31621462431), we get a palindrome (165885588561).

The spelling of 134264126130 in words is "one hundred thirty-four billion, two hundred sixty-four million, one hundred twenty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 937 1065 1874 2130 2811 4685 5622 9370 14055 28110 66527 67273 133054 134546 199581 201819 332635 336365 399162 403638 665270 672730 997905 1009095 1995810 2018190 4776383 9552766 14329149 23881915 28658298 47763830 63034801 71645745 126069602 143291490 189104403 315174005 378208806 630348010 945522015 1891044030 4475470871 8950941742 13426412613 22377354355 26852825226 44754708710 67132063065 134264126130