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136307808 = 25327213743
BaseRepresentation
bin10000001111111…
…10010001100000
3100111111011011100
420013332101200
5234343322213
621305314400
73243411600
oct1007762140
9314434140
10136307808
116aa4008a
1239795a00
1322316910
1414162c00
15be77773
hex81fe460

136307808 has 216 divisors, whose sum is σ = 486250128. Its totient is φ = 35900928.

The previous prime is 136307791. The next prime is 136307813. The reversal of 136307808 is 808703631.

136307808 is a `hidden beast` number, since 13 + 630 + 7 + 8 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183085 + ... + 183827.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2136307808 is an apocalyptic number.

136307808 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 136307808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243125064).

136307808 is an abundant number, since it is smaller than the sum of its proper divisors (349942320).

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

136307808 is a wasteful number, since it uses less digits than its factorization.

136307808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 136307808 is about 11675.0934899897. The cubic root of 136307808 is about 514.6439969015.

The spelling of 136307808 in words is "one hundred thirty-six million, three hundred seven thousand, eight hundred eight".