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140365134 = 232713671279
BaseRepresentation
bin10000101110111…
…00110101001110
3100210010021202200
420113130311032
5241413141014
621532302330
73323040540
oct1027346516
9323107680
10140365134
1172261448
123b0119a6
13231075c0
14148db690
15c4c9a09
hex85dcd4e

140365134 has 96 divisors (see below), whose sum is σ = 380190720. Its totient is φ = 36438336.

The previous prime is 140365109. The next prime is 140365151. The reversal of 140365134 is 431563041.

140365134 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 651 + 3 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 140365098 and 140365107.

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, 109107 + ... + 110385.

It is an arithmetic number, because the mean of its divisors is an integer number (3960320).

Almost surely, 2140365134 is an apocalyptic number.

140365134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140365134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190095360).

140365134 is an abundant number, since it is smaller than the sum of its proper divisors (239825586).

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

140365134 is a wasteful number, since it uses less digits than its factorization.

140365134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 140365134 is about 11847.5792464115. The cubic root of 140365134 is about 519.7004364338.

The spelling of 140365134 in words is "one hundred forty million, three hundred sixty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 67 78 91 117 126 134 182 201 234 273 402 469 546 603 819 871 938 1206 1279 1407 1638 1742 2558 2613 2814 3837 4221 5226 6097 7674 7839 8442 8953 11511 12194 15678 16627 17906 18291 23022 26859 33254 36582 49881 53718 54873 80577 85693 99762 109746 116389 149643 161154 171386 232778 257079 299286 349167 514158 599851 698334 771237 1047501 1114009 1199702 1542474 1799553 2095002 2228018 3342027 3599106 5398659 6684054 7798063 10026081 10797318 15596126 20052162 23394189 46788378 70182567 140365134