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136610656 = 25713431091
BaseRepresentation
bin10000010010010…
…00001101100000
3100112001112120221
420021020031200
5234433020111
621320012424
73246112540
oct1011101540
9315045527
10136610656
1170127676
1239901114
13223c1710
1414201320
15bed7371
hex8248360

136610656 has 96 divisors (see below), whose sum is σ = 339026688. Its totient is φ = 52738560.

The previous prime is 136610653. The next prime is 136610689. The reversal of 136610656 is 656016631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136610653) 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, 124671 + ... + 125761.

It is an arithmetic number, because the mean of its divisors is an integer number (3531528).

Almost surely, 2136610656 is an apocalyptic number.

136610656 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 136610656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169513344).

136610656 is an abundant number, since it is smaller than the sum of its proper divisors (202416032).

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

136610656 is a wasteful number, since it uses less digits than its factorization.

136610656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 136610656 is about 11688.0561258064. The cubic root of 136610656 is about 515.0248594529.

The spelling of 136610656 in words is "one hundred thirty-six million, six hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 43 52 56 86 91 104 112 172 182 208 224 301 344 364 416 559 602 688 728 1091 1118 1204 1376 1456 2182 2236 2408 2912 3913 4364 4472 4816 7637 7826 8728 8944 9632 14183 15274 15652 17456 17888 28366 30548 31304 34912 46913 56732 61096 62608 93826 99281 113464 122192 125216 187652 198562 226928 244384 328391 375304 397124 453856 609869 656782 750608 794248 1219738 1313564 1501216 1588496 2439476 2627128 3176992 4269083 4878952 5254256 8538166 9757904 10508512 17076332 19515808 34152664 68305328 136610656