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136353536 = 2811411181
BaseRepresentation
bin10000010000010…
…01011100000000
3100111120110212222
420020021130000
5234401303121
621310310212
73243662114
oct1010113400
9314513788
10136353536
116aa71480
12397b8368
1322331687
1414175744
15be860ab
hex8209700

136353536 has 72 divisors (see below), whose sum is σ = 304417008. Its totient is φ = 60416000.

The previous prime is 136353523. The next prime is 136353541. The reversal of 136353536 is 635353631.

It is a junction number, because it is equal to n+sod(n) for n = 136353496 and 136353505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114866 + ... + 116046.

It is an arithmetic number, because the mean of its divisors is an integer number (4228014).

Almost surely, 2136353536 is an apocalyptic number.

136353536 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 136353536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152208504).

136353536 is an abundant number, since it is smaller than the sum of its proper divisors (168063472).

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

136353536 is a wasteful number, since it uses less digits than its factorization.

136353536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1235 counting only the distinct ones).

The product of its digits is 72900, while the sum is 35.

The square root of 136353536 is about 11677.0516826809. The cubic root of 136353536 is about 514.7015407059.

It can be divided in two parts, 13635 and 3536, that added together give a palindrome (17171).

The spelling of 136353536 in words is "one hundred thirty-six million, three hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 352 451 656 704 902 1181 1312 1408 1804 2362 2624 2816 3608 4724 5248 7216 9448 10496 12991 14432 18896 25982 28864 37792 48421 51964 57728 75584 96842 103928 115456 151168 193684 207856 302336 387368 415712 532631 774736 831424 1065262 1549472 1662848 2130524 3098944 3325696 4261048 6197888 8522096 12395776 17044192 34088384 68176768 136353536