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136038656 = 281341997
BaseRepresentation
bin10000001101111…
…00100100000000
3100110222110221202
420012330210000
5234311214111
621255440332
73241211105
oct1006744400
9313873852
10136038656
116a876946
12396860a8
1322251260
14140d2aac
15be22b3b
hex81bc900

136038656 has 72 divisors (see below), whose sum is σ = 299867064. Its totient is φ = 61194240.

The previous prime is 136038631. The next prime is 136038667. The reversal of 136038656 is 656830631.

It can be written as a sum of positive squares in 4 ways, for example, as 1849600 + 134189056 = 1360^2 + 11584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135950 + ... + 136946.

Almost surely, 2136038656 is an apocalyptic number.

136038656 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 136038656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149933532).

136038656 is an abundant number, since it is smaller than the sum of its proper divisors (163828408).

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

136038656 is an equidigital number, since it uses as much as digits as its factorization.

136038656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 136038656 is about 11663.5610342639. The cubic root of 136038656 is about 514.3050367814.

The spelling of 136038656 in words is "one hundred thirty-six million, thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 256 328 416 533 656 832 997 1066 1312 1664 1994 2132 2624 3328 3988 4264 5248 7976 8528 10496 12961 15952 17056 25922 31904 34112 40877 51844 63808 68224 81754 103688 127616 136448 163508 207376 255232 327016 414752 531401 654032 829504 1062802 1308064 1659008 2125604 2616128 3318016 4251208 5232256 8502416 10464512 17004832 34009664 68019328 136038656