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136102912 = 2101143281
BaseRepresentation
bin10000001110011…
…00010000000000
3100111002202002121
420013030100000
5234320243122
621301054024
73241566331
oct1007142000
9314082077
10136102912
116a910150
12396b7314
132227458a
141410c288
15be36bc7
hex81cc400

136102912 has 88 divisors (see below), whose sum is σ = 304790112. Its totient is φ = 60211200.

The previous prime is 136102873. The next prime is 136102913. The reversal of 136102912 is 219201631.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (136102913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484212 + ... + 484492.

It is an arithmetic number, because the mean of its divisors is an integer number (3463524).

Almost surely, 2136102912 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 136102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152395056).

136102912 is an abundant number, since it is smaller than the sum of its proper divisors (168687200).

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

136102912 is a wasteful number, since it uses less digits than its factorization.

136102912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 136102912 is about 11666.3152708985. The cubic root of 136102912 is about 514.3859990207.

The spelling of 136102912 in words is "one hundred thirty-six million, one hundred two thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 256 281 344 352 473 512 562 688 704 946 1024 1124 1376 1408 1892 2248 2752 2816 3091 3784 4496 5504 5632 6182 7568 8992 11008 11264 12083 12364 15136 17984 22016 24166 24728 30272 35968 44032 48332 49456 60544 71936 96664 98912 121088 132913 143872 193328 197824 242176 265826 287744 386656 395648 484352 531652 773312 791296 1063304 1546624 1582592 2126608 3093248 3165184 4253216 6186496 8506432 12372992 17012864 34025728 68051456 136102912