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134134103142 = 237132181457
BaseRepresentation
bin111110011101100000…
…0111111110001100110
3110211020000222110000000
41330323000333301212
54144201312300032
6141341555202130
712455653031124
oct1747300776146
9424200873000
10134134103142
1151982227aa6
1221bb52a6346
13c85851a500
1466c656a914
153750c77e7c
hex1f3b03fc66

134134103142 has 96 divisors (see below), whose sum is σ = 326755049760. Its totient is φ = 41271804288.

The previous prime is 134134103119. The next prime is 134134103153. The reversal of 134134103142 is 241301431431.

134134103142 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 341 + 0 + 314 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648478 + ... + 829934.

It is an arithmetic number, because the mean of its divisors is an integer number (3403698435).

Almost surely, 2134134103142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134134103142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163377524880).

134134103142 is an abundant number, since it is smaller than the sum of its proper divisors (192620946618).

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

134134103142 is an equidigital number, since it uses as much as digits as its factorization.

134134103142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181506 (or 181475 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 134134103142 its reverse (241301431431), we get a palindrome (375435534573).

The spelling of 134134103142 in words is "one hundred thirty-four billion, one hundred thirty-four million, one hundred three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 243 338 351 486 507 702 729 1014 1053 1458 1521 2106 2187 3042 3159 4374 4563 6318 9126 9477 13689 18954 27378 28431 41067 56862 82134 123201 181457 246402 362914 369603 544371 739206 1088742 1633113 2358941 3266226 4717882 4899339 7076823 9798678 14153646 14698017 21230469 29396034 30666233 42460938 44094051 61332466 63691407 88188102 91998699 127382814 132282153 183997398 191074221 264564306 275996097 382148442 396846459 551992194 573222663 793692918 827988291 1146445326 1655976582 1719667989 2483964873 3439335978 4967929746 5159003967 7451894619 10318007934 14903789238 22355683857 44711367714 67067051571 134134103142