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136885248 = 210334951
BaseRepresentation
bin10000010100010…
…11010000000000
3100112120111021000
420022023100000
5240020311443
621325532000
73251335233
oct1012132000
9315514230
10136885248
11702a4a05
1239a14000
13224896b6
141427341a
15c03d8d3
hex828b400

136885248 has 88 divisors (see below), whose sum is σ = 405469760. Its totient is φ = 45619200.

The previous prime is 136885247. The next prime is 136885261. The reversal of 136885248 is 842588631.

It is a super-2 number, since 2×1368852482 = 37475142240043008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136885247) by changing a digit.

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, 25173 + ... + 30123.

Almost surely, 2136885248 is an apocalyptic number.

136885248 is a gapful number since it is divisible by the number (18) 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 136885248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202734880).

136885248 is an abundant number, since it is smaller than the sum of its proper divisors (268584512).

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

136885248 is an equidigital number, since it uses as much as digits as its factorization.

136885248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 4956 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 136885248 is about 11699.7969213145. The cubic root of 136885248 is about 515.3697009216.

It can be divided in two parts, 1368852 and 48, that added together give a square (1368900 = 11702).

The spelling of 136885248 in words is "one hundred thirty-six million, eight hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 4951 6912 9216 9902 13824 14853 19804 27648 29706 39608 44559 59412 79216 89118 118824 133677 158432 178236 237648 267354 316864 356472 475296 534708 633728 712944 950592 1069416 1267456 1425888 1901184 2138832 2534912 2851776 3802368 4277664 5069824 5703552 7604736 8555328 11407104 15209472 17110656 22814208 34221312 45628416 68442624 136885248