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136740447168 = 26313215232767
BaseRepresentation
bin111111101011001011…
…1011010001111000000
3111001221200021102212020
41333112113122033000
54220021023302133
6142452342201440
712610361423553
oct1772627321700
9431850242766
10136740447168
1152a9a465926
1222602123280
13cb824a1c00
14689278069a
1538549ad0b3
hex1fd65da3c0

136740447168 has 168 divisors, whose sum is σ = 392162312448. Its totient is φ = 42031162368.

The previous prime is 136740447167. The next prime is 136740447169. The reversal of 136740447168 is 861744047631.

It is a happy number.

136740447168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136740447167) and next prime (136740447169).

It is a self number, because there is not a number n which added to its sum of digits gives 136740447168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136740447163) 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, 49416921 + ... + 49419687.

Almost surely, 2136740447168 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 136740447168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196081156224).

136740447168 is an abundant number, since it is smaller than the sum of its proper divisors (255421865280).

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

136740447168 is a wasteful number, since it uses less digits than its factorization.

136740447168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 136740447168 in words is "one hundred thirty-six billion, seven hundred forty million, four hundred forty-seven thousand, one hundred sixty-eight".