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136195668 = 2235737541
BaseRepresentation
bin10000001111000…
…10111001010100
3100111021110100000
420013202321110
5234331230133
621303051300
73242433630
oct1007427124
9314243300
10136195668
116a973904
1239740b30
13222a786b
1414133dc0
15be54413
hex81e2e54

136195668 has 144 divisors (see below), whose sum is σ = 419828864. Its totient is φ = 37791360.

The previous prime is 136195651. The next prime is 136195691. The reversal of 136195668 is 866591631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251478 + ... + 252018.

Almost surely, 2136195668 is an apocalyptic number.

136195668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136195668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209914432).

136195668 is an abundant number, since it is smaller than the sum of its proper divisors (283633196).

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

136195668 is a wasteful number, since it uses less digits than its factorization.

136195668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 590 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 136195668 is about 11670.2899706905. The cubic root of 136195668 is about 514.5028261878.

The spelling of 136195668 in words is "one hundred thirty-six million, one hundred ninety-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 243 252 259 324 333 378 444 486 518 541 567 666 756 777 972 999 1036 1082 1134 1332 1554 1623 1701 1998 2164 2268 2331 2997 3108 3246 3402 3787 3996 4662 4869 5994 6492 6804 6993 7574 8991 9324 9738 11361 11988 13986 14607 15148 17982 19476 20017 20979 22722 27972 29214 34083 35964 40034 41958 43821 45444 58428 60051 62937 68166 80068 83916 87642 102249 120102 125874 131463 136332 140119 175284 180153 204498 240204 251748 262926 280238 306747 360306 408996 420357 525852 540459 560476 613494 720612 840714 920241 1080918 1226988 1261071 1621377 1681428 1840482 2161836 2522142 3242754 3680964 3783213 4864131 5044284 6485508 7566426 9728262 11349639 15132852 19456524 22699278 34048917 45398556 68097834 136195668