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135680184 = 2334375659
BaseRepresentation
bin10000001011001…
…01000010111000
3100110022021020000
420011211002320
5234213231214
621244033000
73235156023
oct1005450270
9313267200
10135680184
116a651592
1239532760
1322157043
141403c1ba
15bda1809
hex81650b8

135680184 has 80 divisors (see below), whose sum is σ = 390370200. Its totient is φ = 43996608.

The previous prime is 135680177. The next prime is 135680203. The reversal of 135680184 is 481086531.

135680184 is a `hidden beast` number, since 13 + 568 + 0 + 1 + 84 = 666.

It is a super-2 number, since 2×1356801842 = 36818224660547712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21147 + ... + 26805.

Almost surely, 2135680184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135680184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195185100).

135680184 is an abundant number, since it is smaller than the sum of its proper divisors (254690016).

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

135680184 is a wasteful number, since it uses less digits than its factorization.

135680184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 135680184 is about 11648.1837210786. The cubic root of 135680184 is about 513.8528953689.

The spelling of 135680184 in words is "one hundred thirty-five million, six hundred eighty thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2664 2997 3996 5659 5994 7992 11318 11988 16977 22636 23976 33954 45272 50931 67908 101862 135816 152793 203724 209383 305586 407448 418766 458379 611172 628149 837532 916758 1222344 1256298 1675064 1833516 1884447 2512596 3667032 3768894 5025192 5653341 7537788 11306682 15075576 16960023 22613364 33920046 45226728 67840092 135680184