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136616025 = 35271337541
BaseRepresentation
bin10000010010010…
…01100001011001
3100112001210221210
420021021201121
5234433203100
621320053333
73246134310
oct1011114131
9315053853
10136616025
1170130707
1239904249
13223c3cb0
1414203277
15bed8c50
hex8249859

136616025 has 96 divisors (see below), whose sum is σ = 286037248. Its totient is φ = 55987200.

The previous prime is 136615957. The next prime is 136616041. The reversal of 136616025 is 520616631.

It is not a de Polignac number, because 136616025 - 29 = 136615513 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 136615983 and 136616001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252255 + ... + 252795.

Almost surely, 2136616025 is an apocalyptic number.

136616025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136616025 is an abundant number, since it is smaller than the sum of its proper divisors (149421223).

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

136616025 is a wasteful number, since it uses less digits than its factorization.

136616025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 136616025 is about 11688.2858024605. The cubic root of 136616025 is about 515.0316064430.

It can be divided in two parts, 1366 and 16025, that added together give a triangular number (17391 = T186).

The spelling of 136616025 in words is "one hundred thirty-six million, six hundred sixteen thousand, twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 37 39 65 75 91 105 111 175 185 195 259 273 325 455 481 525 541 555 777 925 975 1295 1365 1443 1623 2275 2405 2705 2775 3367 3787 3885 6475 6825 7033 7215 8115 10101 11361 12025 13525 16835 18935 19425 20017 21099 35165 36075 40575 49231 50505 56805 60051 84175 94675 100085 105495 140119 147693 175825 246155 252525 260221 284025 300255 420357 500425 527475 700595 738465 780663 1230775 1301105 1501275 1821547 2101785 3502975 3692325 3903315 5464641 6505525 9107735 10508925 19516575 27323205 45538675 136616025