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134125145361 = 321724321672
BaseRepresentation
bin111110011101001111…
…0110100110100010001
3110211012102010100020100
41330322132310310101
54144142014122421
6141341035203013
712455513632134
oct1747236646421
9424172110210
10134125145361
1151978169979
1221bb22a6469
13c85670214c
1466c52b821b
1537500a8c26
hex1f3a7b4d11

134125145361 has 81 divisors (see below), whose sum is σ = 211969596891. Its totient is φ = 81707601024.

The previous prime is 134125145339. The next prime is 134125145387. The reversal of 134125145361 is 163541521431.

The square root of 134125145361 is 366231.

It is a perfect power (a square), and thus also a powerful number.

134125145361 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 251 + 45 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104422691025 + 29702454336 = 323145^2 + 172344^2 .

It is not a de Polignac number, because 134125145361 - 227 = 133990927633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (134125145761) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 803144500 + ... + 803144666.

Almost surely, 2134125145361 is an apocalyptic number.

134125145361 is the 366231-st square number.

134125145361 is the 183116-th centered octagonal number.

It is an amenable number.

134125145361 is a deficient number, since it is larger than the sum of its proper divisors (77844451530).

134125145361 is an equidigital number, since it uses as much as digits as its factorization.

134125145361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 230 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Multiplying 134125145361 by its sum of digits (36), we get a square (4828505232996 = 21973862).

Adding to 134125145361 its reverse (163541521431), we get a palindrome (297666666792).

The spelling of 134125145361 in words is "one hundred thirty-four billion, one hundred twenty-five million, one hundred forty-five thousand, three hundred sixty-one".

Divisors: 1 3 9 17 43 51 129 153 167 289 387 501 731 867 1503 1849 2193 2601 2839 5547 6579 7181 8517 12427 16641 21543 25551 27889 31433 37281 48263 64629 83667 94299 111843 122077 144789 251001 282897 308783 366231 434367 474113 534361 926349 1098693 1199227 1422339 1603083 2075309 2779047 3597681 4267017 4809249 5249311 6225927 8059921 10793043 15747933 18677781 20386859 24179763 47243799 51566761 61160577 72539289 89238287 154700283 183481731 267714861 346576603 464100849 803144583 876634937 1039729809 2629904811 3119189427 7889714433 14902793929 44708381787 134125145361