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135014646 = 2313171923233
BaseRepresentation
bin10000000110000…
…10100011110110
3100102001110021110
420003002203312
5234030432041
621221455450
73226414464
oct1003024366
9312043243
10135014646
116a237558
1239271586
1321c83130
1413d07834
15bcbe516
hex80c28f6

135014646 has 128 divisors (see below), whose sum is σ = 339655680. Its totient is φ = 35278848.

The previous prime is 135014611. The next prime is 135014647. The reversal of 135014646 is 646410531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135014647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 579346 + ... + 579578.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2135014646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135014646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

135014646 is an abundant number, since it is smaller than the sum of its proper divisors (204641034).

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

135014646 is a wasteful number, since it uses less digits than its factorization.

135014646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 135014646 is about 11619.5802850189. The cubic root of 135014646 is about 513.0113346712.

The spelling of 135014646 in words is "one hundred thirty-five million, fourteen thousand, six hundred forty-six".

Divisors: 1 2 3 6 13 17 19 23 26 34 38 39 46 51 57 69 78 102 114 138 221 233 247 299 323 391 437 442 466 494 598 646 663 699 741 782 874 897 969 1173 1311 1326 1398 1482 1794 1938 2346 2622 3029 3961 4199 4427 5083 5359 5681 6058 7429 7922 8398 8854 9087 10166 10718 11362 11883 12597 13281 14858 15249 16077 17043 18174 22287 23766 25194 26562 30498 32154 34086 44574 51493 57551 69667 75259 91103 96577 101821 102986 115102 139334 150518 154479 172653 182206 193154 203642 209001 225777 273309 289731 305463 308958 345306 418002 451554 546618 579462 610926 978367 1184339 1323673 1730957 1956734 2368678 2647346 2935101 3461914 3553017 3971019 5192871 5870202 7106034 7942038 10385742 22502441 45004882 67507323 135014646