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136747008 = 211332473
BaseRepresentation
bin10000010011010…
…01100000000000
3100112022110122000
420021221200000
5240001401013
621322544000
73250221216
oct1011514000
9315273560
10136747008
1170210062
1239968000
132243b7b8
1414238cb6
15c012973
hex8269800

136747008 has 96 divisors (see below), whose sum is σ = 405241200. Its totient is φ = 45563904.

The previous prime is 136747007. The next prime is 136747027. The reversal of 136747008 is 800747631.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136747003) 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, 54060 + ... + 56532.

Almost surely, 2136747008 is an apocalyptic number.

136747008 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 136747008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202620600).

136747008 is an abundant number, since it is smaller than the sum of its proper divisors (268494192).

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

136747008 is an equidigital number, since it uses as much as digits as its factorization.

136747008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 136747008 is about 11693.8876341446. The cubic root of 136747008 is about 515.1961523831.

The spelling of 136747008 in words is "one hundred thirty-six million, seven hundred forty-seven thousand, 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 2048 2304 2473 3072 3456 4608 4946 6144 6912 7419 9216 9892 13824 14838 18432 19784 22257 27648 29676 39568 44514 55296 59352 66771 79136 89028 118704 133542 158272 178056 237408 267084 316544 356112 474816 534168 633088 712224 949632 1068336 1266176 1424448 1899264 2136672 2532352 2848896 3798528 4273344 5064704 5697792 7597056 8546688 11395584 15194112 17093376 22791168 34186752 45582336 68373504 136747008