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136770075 = 3252131923107
BaseRepresentation
bin10000010011011…
…11001000011011
3100112100122021100
420021233020123
5240003120300
621323242443
73250345401
oct1011571033
9315318240
10136770075
1170226422
1239979423
1322449150
1414243471
15c019700
hex826f21b

136770075 has 144 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 60445440.

The previous prime is 136770071. The next prime is 136770077. The reversal of 136770075 is 570077631.

It is not a de Polignac number, because 136770075 - 22 = 136770071 is a prime.

Together with 155711205 it forms an amicable pair .

It is not an unprimeable number, because it can be changed into a prime (136770071) 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 143 ways as a sum of consecutive naturals, for example, 1278172 + ... + 1278278.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2136770075 is an apocalyptic number.

136770075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

136770075 is an abundant number, since it is smaller than the sum of its proper divisors (155711205).

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

136770075 is a wasteful number, since it uses less digits than its factorization.

136770075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 136770075 is about 11694.8738770454. The cubic root of 136770075 is about 515.2251191631.

The spelling of 136770075 in words is "one hundred thirty-six million, seven hundred seventy thousand, seventy-five".

Divisors: 1 3 5 9 13 15 19 23 25 39 45 57 65 69 75 95 107 115 117 171 195 207 225 247 285 299 321 325 345 437 475 535 575 585 741 855 897 963 975 1035 1235 1311 1391 1425 1495 1605 1725 2033 2185 2223 2461 2675 2691 2925 3705 3933 4173 4275 4485 4815 5175 5681 6099 6175 6555 6955 7383 7475 8025 10165 10925 11115 12305 12519 13455 17043 18297 18525 19665 20865 22149 22425 24075 26429 28405 30495 31993 32775 34775 36915 46759 50825 51129 55575 61525 62595 67275 79287 85215 91485 95979 98325 104325 110745 132145 140277 142025 152475 159965 184575 233795 237861 255645 287937 312975 396435 420831 426075 457425 479895 553725 607867 660725 701385 799825 1168975 1189305 1278225 1439685 1823601 1982175 2104155 2399475 3039335 3506925 5470803 5946525 7198425 9118005 10520775 15196675 27354015 45590025 136770075