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135601092 = 2232111791913
BaseRepresentation
bin10000001010100…
…01101111000100
3100110011020201200
420011101233010
5234203213332
621242222500
73234406314
oct1005215704
9313136650
10135601092
116a5a8120
12394b4a30
132212a043
141401b444
15bd8817c
hex8151bc4

135601092 has 72 divisors (see below), whose sum is σ = 376215840. Its totient is φ = 40840320.

The previous prime is 135601091. The next prime is 135601111. The reversal of 135601092 is 290106531.

135601092 is a `hidden beast` number, since 1 + 3 + 560 + 10 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (135601091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69928 + ... + 71840.

It is an arithmetic number, because the mean of its divisors is an integer number (5225220).

Almost surely, 2135601092 is an apocalyptic number.

135601092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135601092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188107920).

135601092 is an abundant number, since it is smaller than the sum of its proper divisors (240614748).

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

135601092 is a wasteful number, since it uses less digits than its factorization.

135601092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 135601092 is about 11644.7881904309. The cubic root of 135601092 is about 513.7530292680.

The spelling of 135601092 in words is "one hundred thirty-five million, six hundred one thousand, ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 179 198 358 396 537 716 1074 1611 1913 1969 2148 3222 3826 3938 5739 5907 6444 7652 7876 11478 11814 17217 17721 21043 22956 23628 34434 35442 42086 63129 68868 70884 84172 126258 189387 252516 342427 378774 684854 757548 1027281 1369708 2054562 3081843 3766697 4109124 6163686 7533394 11300091 12327372 15066788 22600182 33900273 45200364 67800546 135601092