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136102016 = 2719191293
BaseRepresentation
bin10000001110011…
…00000010000000
3100111002200212102
420013030002000
5234320231031
621301045532
73241563611
oct1007140200
9314080772
10136102016
116a90a506
12396b68a8
132227404b
141410bc08
15be367cb
hex81cc080

136102016 has 64 divisors (see below), whose sum is σ = 287884800. Its totient is φ = 63912960.

The previous prime is 136102007. The next prime is 136102027. The reversal of 136102016 is 610201631.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464366 + ... + 464658.

It is an arithmetic number, because the mean of its divisors is an integer number (4498200).

Almost surely, 2136102016 is an apocalyptic number.

136102016 is a gapful number since it is divisible by the number (16) 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 136102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

136102016 is an abundant number, since it is smaller than the sum of its proper divisors (151782784).

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

136102016 is a wasteful number, since it uses less digits than its factorization.

136102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 136102016 is about 11666.2768696787. The cubic root of 136102016 is about 514.3848702404.

Adding to 136102016 its reverse (610201631), we get a palindrome (746303647).

The spelling of 136102016 in words is "one hundred thirty-six million, one hundred two thousand, sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 191 293 304 382 586 608 764 1172 1216 1528 2344 2432 3056 3629 4688 5567 6112 7258 9376 11134 12224 14516 18752 22268 24448 29032 37504 44536 55963 58064 89072 111926 116128 178144 223852 232256 356288 447704 464512 712576 895408 1063297 1790816 2126594 3581632 4253188 7163264 8506376 17012752 34025504 68051008 136102016