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136414908 = 22337199497
BaseRepresentation
bin10000010000110…
…00011010111100
3100111200121002000
420020120122330
5234410234113
621311502300
73244336050
oct1010303274
9314617060
10136414908
11700035a3
1239827990
13223535a6
141418dc60
15be99373
hex82186bc

136414908 has 96 divisors (see below), whose sum is σ = 425510400. Its totient is φ = 36920448.

The previous prime is 136414879. The next prime is 136414933. The reversal of 136414908 is 809414631.

136414908 is a `hidden beast` number, since 1 + 3 + 641 + 4 + 9 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9616 + ... + 19112.

It is an arithmetic number, because the mean of its divisors is an integer number (4432400).

Almost surely, 2136414908 is an apocalyptic number.

136414908 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 136414908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212755200).

136414908 is an abundant number, since it is smaller than the sum of its proper divisors (289095492).

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

136414908 is a wasteful number, since it uses less digits than its factorization.

136414908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9536 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 136414908 is about 11679.6792764185. The cubic root of 136414908 is about 514.7787505968.

The spelling of 136414908 in words is "one hundred thirty-six million, four hundred fourteen thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 9497 14364 18994 28491 37988 56982 66479 85473 113964 132958 170946 180443 199437 256419 265916 341892 360886 398874 512838 541329 598311 721772 797748 1025676 1082658 1196622 1263101 1623987 1794933 2165316 2393244 2526202 3247974 3589866 3789303 4871961 5052404 6495948 7179732 7578606 9743922 11367909 15157212 19487844 22735818 34103727 45471636 68207454 136414908