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136226976 = 25323103599
BaseRepresentation
bin10000001111010…
…10100010100000
3100111100001021120
420013222202200
5234333230401
621303452240
73242624124
oct1007524240
9314301246
10136226976
116a995386
1239757080
13222b8ba2
1414141584
15be5d836
hex81ea8a0

136226976 has 96 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 42941184.

The previous prime is 136226971. The next prime is 136227011. The reversal of 136226976 is 679622631.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (136226971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227125 + ... + 227723.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2136226976 is an apocalyptic number.

136226976 is a gapful number since it is divisible by the number (16) 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 136226976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

136226976 is an abundant number, since it is smaller than the sum of its proper divisors (241168224).

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

136226976 is a wasteful number, since it uses less digits than its factorization.

136226976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 136226976 is about 11671.6312484588. The cubic root of 136226976 is about 514.5422469726.

The spelling of 136226976 in words is "one hundred thirty-six million, two hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 103 138 184 206 276 309 368 412 552 599 618 736 824 1104 1198 1236 1648 1797 2208 2369 2396 2472 3296 3594 4738 4792 4944 7107 7188 9476 9584 9888 13777 14214 14376 18952 19168 27554 28428 28752 37904 41331 55108 56856 57504 61697 75808 82662 110216 113712 123394 165324 185091 220432 227424 246788 330648 370182 440864 493576 661296 740364 987152 1322592 1419031 1480728 1974304 2838062 2961456 4257093 5676124 5922912 8514186 11352248 17028372 22704496 34056744 45408992 68113488 136226976