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136515225 = 35272112307
BaseRepresentation
bin10000010001100…
…00111010011001
3100111212200200110
420020300322121
5234421441400
621313554533
73245234400
oct1010607231
9314780613
10136515225
1170071a00
1239875a49
132238a152
14141b8637
15beb8e50
hex8230e99

136515225 has 108 divisors (see below), whose sum is σ = 289533552. Its totient is φ = 56548800.

The previous prime is 136515193. The next prime is 136515229. The reversal of 136515225 is 522515631.

It is a happy number.

It is not a de Polignac number, because 136515225 - 25 = 136515193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 136515192 and 136515201.

It is not an unprimeable number, because it can be changed into a prime (136515229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 444522 + ... + 444828.

Almost surely, 2136515225 is an apocalyptic number.

136515225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136515225 is an abundant number, since it is smaller than the sum of its proper divisors (153018327).

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

136515225 is a wasteful number, since it uses less digits than its factorization.

136515225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 333 counting only the distinct ones).

The product of its digits is 9000, while the sum is 30.

The square root of 136515225 is about 11683.9729972300. The cubic root of 136515225 is about 514.9049059347.

The spelling of 136515225 in words is "one hundred thirty-six million, five hundred fifteen thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 121 147 165 175 231 245 275 307 363 385 525 539 605 735 825 847 921 1155 1225 1535 1617 1815 1925 2149 2541 2695 3025 3377 3675 4235 4605 5775 5929 6447 7675 8085 9075 10131 10745 12705 13475 15043 16885 17787 21175 23025 23639 29645 32235 37147 40425 45129 50655 53725 63525 70917 75215 84425 88935 111441 118195 148225 161175 165473 185735 225645 253275 260029 354585 376075 444675 496419 557205 590975 780087 827365 928675 1128225 1300145 1772925 1820203 2482095 2786025 3900435 4136825 5460609 6500725 9101015 12410475 19502175 27303045 45505075 136515225