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135150444 = 223411132917
BaseRepresentation
bin10000000111000…
…11101101101100
3100102022100120000
420003203231230
5234044303234
621224424300
73230521422
oct1003435554
9312270500
10135150444
116a31a590
1239318090
1321cccba0
1413d41112
15bce9899
hex80e3b6c

135150444 has 120 divisors (see below), whose sum is σ = 415219728. Its totient is φ = 37791360.

The previous prime is 135150443. The next prime is 135150451. The reversal of 135150444 is 444051531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135150443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44874 + ... + 47790.

Almost surely, 2135150444 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 135150444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207609864).

135150444 is an abundant number, since it is smaller than the sum of its proper divisors (280069284).

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

135150444 is a wasteful number, since it uses less digits than its factorization.

135150444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 135150444 is about 11625.4223149097. The cubic root of 135150444 is about 513.1832729797.

The spelling of 135150444 in words is "one hundred thirty-five million, one hundred fifty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 81 99 108 117 132 143 156 162 198 234 286 297 324 351 396 429 468 572 594 702 858 891 1053 1188 1287 1404 1716 1782 2106 2574 2917 3564 3861 4212 5148 5834 7722 8751 11583 11668 15444 17502 23166 26253 32087 35004 37921 46332 52506 64174 75842 78759 96261 105012 113763 128348 151684 157518 192522 227526 236277 288783 315036 341289 385044 417131 455052 472554 577566 682578 834262 866349 945108 1023867 1155132 1251393 1365156 1668524 1732698 2047734 2502786 2599047 3071601 3465396 3754179 4095468 5005572 5198094 6143202 7508358 10396188 11262537 12286404 15016716 22525074 33787611 45050148 67575222 135150444