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136331728 = 24132932237
BaseRepresentation
bin10000010000001…
…00000111010000
3100111112100222021
420020010013100
5234400103403
621310021224
73243541411
oct1010040720
9314470867
10136331728
116aa57055
12397a7814
1322324780
141416b808
15be7e8bd
hex82041d0

136331728 has 40 divisors (see below), whose sum is σ = 285559848. Its totient is φ = 62679552.

The previous prime is 136331693. The next prime is 136331737. The reversal of 136331728 is 827133631.

It can be written as a sum of positive squares in 4 ways, for example, as 47444544 + 88887184 = 6888^2 + 9428^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 136331693 and 136331702.

It is a congruent number.

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, 59826 + ... + 62062.

Almost surely, 2136331728 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 136331728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142779924).

136331728 is an abundant number, since it is smaller than the sum of its proper divisors (149228120).

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

136331728 is a wasteful number, since it uses less digits than its factorization.

136331728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2545 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 136331728 is about 11676.1178479835. The cubic root of 136331728 is about 514.6740992719.

The spelling of 136331728 in words is "one hundred thirty-six million, three hundred thirty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 293 586 1172 2237 2344 3809 4474 4688 7618 8948 15236 17896 29081 30472 35792 58162 60944 116324 232648 465296 655441 1310882 2621764 5243528 8520733 10487056 17041466 34082932 68165864 136331728