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136164688 = 24112611153
BaseRepresentation
bin10000001110110…
…11010101010000
3100111012212211121
420013123111100
5234324232223
621302252024
73242244412
oct1007332520
9314185747
10136164688
116a952600
1239727014
132229672a
14141269b2
15be4a15d
hex81db550

136164688 has 60 divisors (see below), whose sum is σ = 294992404. Its totient is φ = 60825600.

The previous prime is 136164683. The next prime is 136164709. The reversal of 136164688 is 886461631.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48330304 + 87834384 = 6952^2 + 9372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136164683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117520 + ... + 118672.

Almost surely, 2136164688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136164688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147496202).

136164688 is an abundant number, since it is smaller than the sum of its proper divisors (158827716).

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

136164688 is a wasteful number, since it uses less digits than its factorization.

136164688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1227 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 136164688 is about 11668.9625931357. The cubic root of 136164688 is about 514.4638124500.

It can be divided in two parts, 1361 and 64688, that added together give a square (66049 = 2572).

The spelling of 136164688 in words is "one hundred thirty-six million, one hundred sixty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 44 61 88 121 122 176 242 244 484 488 671 968 976 1153 1342 1936 2306 2684 4612 5368 7381 9224 10736 12683 14762 18448 25366 29524 50732 59048 70333 101464 118096 139513 140666 202928 279026 281332 558052 562664 773663 1116104 1125328 1547326 2232208 3094652 6189304 8510293 12378608 17020586 34041172 68082344 136164688