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136071825 = 352171941137
BaseRepresentation
bin10000001110001…
…00101010010001
3100111001011110020
420013010222101
5234313244300
621300254053
73241406601
oct1007045221
9314034406
10136071825
116a89985a
12396a1329
1322263396
1414100c01
15be2c8a0
hex81c4a91

136071825 has 96 divisors (see below), whose sum is σ = 258733440. Its totient is φ = 62668800.

The previous prime is 136071821. The next prime is 136071827. The reversal of 136071825 is 528170631.

It is not a de Polignac number, because 136071825 - 22 = 136071821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (136071821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 993157 + ... + 993293.

It is an arithmetic number, because the mean of its divisors is an integer number (2695140).

Almost surely, 2136071825 is an apocalyptic number.

136071825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136071825 is a deficient number, since it is larger than the sum of its proper divisors (122661615).

136071825 is a wasteful number, since it uses less digits than its factorization.

136071825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 136071825 is about 11664.9828546809. The cubic root of 136071825 is about 514.3468327385.

The spelling of 136071825 in words is "one hundred thirty-six million, seventy-one thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 17 19 25 41 51 57 75 85 95 123 137 205 255 285 323 411 425 475 615 685 697 779 969 1025 1275 1425 1615 2055 2091 2329 2337 2603 3075 3425 3485 3895 4845 5617 6987 7809 8075 10275 10455 11645 11685 13015 13243 16851 17425 19475 24225 28085 34935 39045 39729 44251 52275 58225 58425 65075 66215 84255 95489 106723 132753 140425 174675 195225 198645 221255 286467 320169 331075 421275 477445 533615 663765 993225 1106275 1432335 1600845 1814291 2387225 2668075 3318825 5442873 7161675 8004225 9071455 27214365 45357275 136071825