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136521756 = 223273171709
BaseRepresentation
bin10000010001100…
…10100000011100
3100111220000122100
420020302200130
5234422144011
621314045100
73245262420
oct1010624034
9314800570
10136521756
11700768a8
1239879790
1322390107
14141bab80
15bebad56
hex823281c

136521756 has 72 divisors (see below), whose sum is σ = 395871840. Its totient is φ = 38860416.

The previous prime is 136521743. The next prime is 136521757. The reversal of 136521756 is 657125631.

It is a super-2 number, since 2×1365217562 = 37276379722647072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 136521756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136521757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79030 + ... + 80738.

It is an arithmetic number, because the mean of its divisors is an integer number (5498220).

Almost surely, 2136521756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136521756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197935920).

136521756 is an abundant number, since it is smaller than the sum of its proper divisors (259350084).

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

136521756 is a wasteful number, since it uses less digits than its factorization.

136521756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2038 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 136521756 is about 11684.2524792988. The cubic root of 136521756 is about 514.9131169610.

The spelling of 136521756 in words is "one hundred thirty-six million, five hundred twenty-one thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 317 634 951 1268 1709 1902 2219 2853 3418 3804 4438 5127 5706 6657 6836 8876 10254 11412 11963 13314 15381 19971 20508 23926 26628 30762 35889 39942 47852 61524 71778 79884 107667 143556 215334 430668 541753 1083506 1625259 2167012 3250518 3792271 4875777 6501036 7584542 9751554 11376813 15169084 19503108 22753626 34130439 45507252 68260878 136521756