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134513379 = 3572111379
BaseRepresentation
bin10000000010010…
…00001011100011
3100101002222200000
420001020023203
5233413412004
621203031043
73222226200
oct1001101343
9311088600
10134513379
1169a24990
123906b483
1321b38c20
1413c16ca7
15bc20c39
hex80482e3

134513379 has 144 divisors (see below), whose sum is σ = 278853120. Its totient is φ = 63685440.

The previous prime is 134513363. The next prime is 134513381. The reversal of 134513379 is 973315431.

134513379 is a `hidden beast` number, since 134 + 513 + 3 + 7 + 9 = 666.

It is not a de Polignac number, because 134513379 - 24 = 134513363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (134513329) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1702662 + ... + 1702740.

It is an arithmetic number, because the mean of its divisors is an integer number (1936480).

Almost surely, 2134513379 is an apocalyptic number.

134513379 is an abundant number, since it is smaller than the sum of its proper divisors (144339741).

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

134513379 is a wasteful number, since it uses less digits than its factorization.

134513379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 134513379 is about 11597.9903000477. The cubic root of 134513379 is about 512.3756639880.

The spelling of 134513379 in words is "one hundred thirty-four million, five hundred thirteen thousand, three hundred seventy-nine".

Divisors: 1 3 7 9 11 13 21 27 33 39 49 63 77 79 81 91 99 117 143 147 189 231 237 243 273 297 351 429 441 539 553 567 637 693 711 819 869 891 1001 1027 1053 1287 1323 1617 1659 1701 1911 2079 2133 2457 2607 2673 3003 3081 3159 3861 3871 3969 4851 4977 5733 6083 6237 6399 7007 7189 7371 7821 9009 9243 11297 11583 11613 11907 14553 14931 17199 18249 18711 19197 21021 21567 22113 23463 27027 27729 33891 34749 34839 42581 43659 44793 50323 51597 54747 63063 64701 70389 79079 81081 83187 101673 104517 127743 130977 134379 150969 154791 164241 189189 194103 211167 237237 243243 249561 305019 313551 383229 452907 492723 553553 567567 582309 711711 915057 940653 1149687 1358721 1478169 1660659 1702701 1746927 2135133 2745171 3449061 4076163 4981977 6405399 10347183 12228489 14945931 19216197 44837793 134513379