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136271629 = 1321931372
BaseRepresentation
bin10000001111101…
…01011100001101
3100111102022112101
420013311130031
5234341143004
621304435101
73243201244
oct1007653415
9314368471
10136271629
116aa1598a
1239778a91
1322303300
141415395b
15be6bba4
hex81f570d

136271629 has 36 divisors (see below), whose sum is σ = 164787840. Its totient is φ = 112207680.

The previous prime is 136271627. The next prime is 136271647. The reversal of 136271629 is 926172631.

136271629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 136271629 - 21 = 136271627 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136271627) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3682999 + ... + 3683035.

It is an arithmetic number, because the mean of its divisors is an integer number (4577440).

Almost surely, 2136271629 is an apocalyptic number.

136271629 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

136271629 is a deficient number, since it is larger than the sum of its proper divisors (28516211).

136271629 is a wasteful number, since it uses less digits than its factorization.

136271629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 100 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The square root of 136271629 is about 11673.5439777302. The cubic root of 136271629 is about 514.5984603740.

It can be divided in two parts, 136271 and 629, that added together give a square (136900 = 3702).

The spelling of 136271629 in words is "one hundred thirty-six million, two hundred seventy-one thousand, six hundred twenty-nine".

Divisors: 1 13 19 31 37 169 247 403 481 589 703 1147 1369 3211 5239 6253 7657 9139 14911 17797 21793 26011 42439 99541 118807 193843 231361 283309 338143 551707 806341 3683017 4395859 7172191 10482433 136271629