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136105921 = 7197229431
BaseRepresentation
bin10000001110011…
…00111111000001
3100111002220020001
420013030333001
5234320342141
621301120001
73241611160
oct1007147701
9314086201
10136105921
116a912436
12396b9001
1322275a63
141410d3d7
15be37a31
hex81ccfc1

136105921 has 16 divisors (see below), whose sum is σ = 157386240. Its totient is φ = 115295040.

The previous prime is 136105867. The next prime is 136105939. The reversal of 136105921 is 129501631.

It is not a de Polignac number, because 136105921 - 215 = 136073153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 136105921.

It is not an unprimeable number, because it can be changed into a prime (136105121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315576 + ... + 316006.

It is an arithmetic number, because the mean of its divisors is an integer number (9836640).

Almost surely, 2136105921 is an apocalyptic number.

It is an amenable number.

136105921 is a deficient number, since it is larger than the sum of its proper divisors (21280319).

136105921 is a wasteful number, since it uses less digits than its factorization.

136105921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 136105921 is about 11666.4442312129. Note that the first 3 decimals coincide. The cubic root of 136105921 is about 514.3897897210.

It can be divided in two parts, 136105 and 921, that added together give a triangular number (137026 = T523).

The spelling of 136105921 in words is "one hundred thirty-six million, one hundred five thousand, nine hundred twenty-one".

Divisors: 1 7 197 229 431 1379 1603 3017 45113 84907 98699 315791 594349 690893 19443703 136105921