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135801512 = 237111941283
BaseRepresentation
bin10000001100000…
…10101010101000
3100110112102122122
420012002222220
5234231122022
621250410412
73236202530
oct1006025250
9313472578
10135801512
116a724760
1239590a08
132219a332
14140704c0
15bdc7742
hex8182aa8

135801512 has 128 divisors (see below), whose sum is σ = 343526400. Its totient is φ = 48729600.

The previous prime is 135801503. The next prime is 135801517. The reversal of 135801512 is 215108531.

It is a happy number.

It is a super-2 number, since 2×1358015122 = 36884101322972288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135801517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479723 + ... + 480005.

It is an arithmetic number, because the mean of its divisors is an integer number (2683800).

Almost surely, 2135801512 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 135801512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171763200).

135801512 is an abundant number, since it is smaller than the sum of its proper divisors (207724888).

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

135801512 is a wasteful number, since it uses less digits than its factorization.

135801512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 135801512 is about 11653.3905795695. The cubic root of 135801512 is about 514.0060156654.

The spelling of 135801512 in words is "one hundred thirty-five million, eight hundred one thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 41 44 56 76 77 82 88 133 152 154 164 209 266 283 287 308 328 418 451 532 566 574 616 779 836 902 1064 1132 1148 1463 1558 1672 1804 1981 2264 2296 2926 3113 3116 3157 3608 3962 5377 5453 5852 6226 6232 6314 7924 8569 10754 10906 11603 11704 12452 12628 15848 17138 21508 21791 21812 23206 24904 25256 34276 37639 43016 43582 43624 46412 59147 59983 68552 75278 81221 87164 92824 118294 119966 127633 150556 162442 174328 220457 236588 239932 255266 301112 324884 414029 440914 473176 479864 510532 649768 828058 881828 893431 1021064 1543199 1656116 1763656 1786862 2425027 3086398 3312232 3573724 4850054 6172796 7147448 9700108 12345592 16975189 19400216 33950378 67900756 135801512