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136312704 = 27321131347
BaseRepresentation
bin10000001111111…
…11011110000000
3100111111101212200
420013333132000
5234344001304
621305353200
73243432063
oct1007773600
9314441780
10136312704
116aa43830
1239798800
1322318c08
14141648da
15be78e39
hex81ff780

136312704 has 192 divisors, whose sum is σ = 442990080. Its totient is φ = 39859200.

The previous prime is 136312703. The next prime is 136312711. The reversal of 136312704 is 407213631.

136312704 is a `hidden beast` number, since 1 + 3 + 631 + 27 + 0 + 4 = 666.

136312704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136312703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392659 + ... + 393005.

It is an arithmetic number, because the mean of its divisors is an integer number (2307240).

Almost surely, 2136312704 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 136312704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221495040).

136312704 is an abundant number, since it is smaller than the sum of its proper divisors (306677376).

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

136312704 is a wasteful number, since it uses less digits than its factorization.

136312704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 136312704 is about 11675.3031652287. The cubic root of 136312704 is about 514.6501586098.

The spelling of 136312704 in words is "one hundred thirty-six million, three hundred twelve thousand, seven hundred four".