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136496736 = 25322959277
BaseRepresentation
bin10000010001011…
…00011001100000
3100111211202022200
420020230121200
5234420343421
621313333200
73245126445
oct1010543140
9314752280
10136496736
117005a022
1239867200
13223818cc
14141b19cc
15beb3726
hex822c660

136496736 has 144 divisors (see below), whose sum is σ = 409827600. Its totient is φ = 43029504.

The previous prime is 136496729. The next prime is 136496747. The reversal of 136496736 is 637694631.

136496736 is digitally balanced in base 3, 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 (144).

It is a junction number, because it is equal to n+sod(n) for n = 136496691 and 136496700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492630 + ... + 492906.

It is an arithmetic number, because the mean of its divisors is an integer number (2846025).

Almost surely, 2136496736 is an apocalyptic number.

136496736 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 136496736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204913800).

136496736 is an abundant number, since it is smaller than the sum of its proper divisors (273330864).

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

136496736 is a wasteful number, since it uses less digits than its factorization.

136496736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 136496736 is about 11683.1817584081. The cubic root of 136496736 is about 514.8816594272.

The spelling of 136496736 in words is "one hundred thirty-six million, four hundred ninety-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 59 72 87 96 116 118 144 174 177 232 236 261 277 288 348 354 464 472 522 531 554 696 708 831 928 944 1044 1062 1108 1392 1416 1662 1711 1888 2088 2124 2216 2493 2784 2832 3324 3422 4176 4248 4432 4986 5133 5664 6648 6844 8033 8352 8496 8864 9972 10266 13296 13688 15399 16066 16343 16992 19944 20532 24099 26592 27376 30798 32132 32686 39888 41064 48198 49029 54752 61596 64264 65372 72297 79776 82128 96396 98058 123192 128528 130744 144594 147087 164256 192792 196116 246384 257056 261488 289188 294174 385584 392232 473947 492768 522976 578376 588348 771168 784464 947894 1156752 1176696 1421841 1568928 1895788 2313504 2353392 2843682 3791576 4265523 4706784 5687364 7583152 8531046 11374728 15166304 17062092 22749456 34124184 45498912 68248368 136496736