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135204027936 = 2533128317657
BaseRepresentation
bin111110111101011001…
…0011011111000100000
3110220222121020020220020
41331322302123320200
54203344212343221
6142040055313440
712524324163315
oct1757262337040
9426877206806
10135204027936
115238117036a
122225367b880
13c99909abc3
1467886bad0c
1537b4b6cac6
hex1f7ac9be20

135204027936 has 144 divisors (see below), whose sum is σ = 371168052192. Its totient is φ = 43086289920.

The previous prime is 135204027923. The next prime is 135204027941. The reversal of 135204027936 is 639720402531.

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, 7648420 + ... + 7666076.

It is an arithmetic number, because the mean of its divisors is an integer number (2577555918).

Almost surely, 2135204027936 is an apocalyptic number.

135204027936 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 135204027936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185584026096).

135204027936 is an abundant number, since it is smaller than the sum of its proper divisors (235964024256).

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

135204027936 is a wasteful number, since it uses less digits than its factorization.

135204027936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17815 (or 17776 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 135204027936 in words is "one hundred thirty-five billion, two hundred four million, twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 83 93 96 124 166 186 248 249 332 372 496 498 664 744 961 992 996 1328 1488 1922 1992 2573 2656 2883 2976 3844 3984 5146 5766 7688 7719 7968 10292 11532 15376 15438 17657 20584 23064 30752 30876 35314 41168 46128 52971 61752 70628 79763 82336 92256 105942 123504 141256 159526 211884 239289 247008 282512 319052 423768 478578 547367 565024 638104 847536 957156 1094734 1276208 1465531 1642101 1695072 1914312 2189468 2552416 2931062 3284202 3828624 4378936 4396593 5862124 6568404 7657248 8757872 8793186 11724248 13136808 16968377 17515744 17586372 23448496 26273616 33936754 35172744 45431461 46896992 50905131 52547232 67873508 70345488 90862922 101810262 135747016 136294383 140690976 181725844 203620524 271494032 272588766 363451688 407241048 542988064 545177532 726903376 814482096 1090355064 1408375291 1453806752 1628964192 2180710128 2816750582 4225125873 4361420256 5633501164 8450251746 11267002328 16900503492 22534004656 33801006984 45068009312 67602013968 135204027936