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135570192 = 2433122939
BaseRepresentation
bin10000001010010…
…10001100010000
3100110002200100020
420011022030100
5234201221232
621241423440
73234220242
oct1005121420
9313080306
10135570192
116a58698a
123949ab80
1322118c64
1414010092
15bd7de2c
hex814a310

135570192 has 60 divisors (see below), whose sum is σ = 362008080. Its totient is φ = 43717440.

The previous prime is 135570191. The next prime is 135570199. The reversal of 135570192 is 291075531.

It is not an unprimeable number, because it can be changed into a prime (135570191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44659 + ... + 47597.

It is an arithmetic number, because the mean of its divisors is an integer number (6033468).

Almost surely, 2135570192 is an apocalyptic number.

135570192 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 135570192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181004040).

135570192 is an abundant number, since it is smaller than the sum of its proper divisors (226437888).

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

135570192 is a wasteful number, since it uses less digits than its factorization.

135570192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 135570192 is about 11643.4613410274. The cubic root of 135570192 is about 513.7140026045.

The spelling of 135570192 in words is "one hundred thirty-five million, five hundred seventy thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 961 1488 1922 2883 2939 3844 5766 5878 7688 8817 11532 11756 15376 17634 23064 23512 35268 46128 47024 70536 91109 141072 182218 273327 364436 546654 728872 1093308 1457744 2186616 2824379 4373232 5648758 8473137 11297516 16946274 22595032 33892548 45190064 67785096 135570192