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135965088 = 2533722481
BaseRepresentation
bin10000001101010…
…10100110100000
3100110211202001000
420012222212200
5234301340323
621254112000
73240453450
oct1006524640
9313752030
10135965088
116a826646
123964b600
132222691c
14140b3d60
15be0ae43
hex81aa9a0

135965088 has 96 divisors (see below), whose sum is σ = 453237120. Its totient is φ = 38845440.

The previous prime is 135965051. The next prime is 135965111. The reversal of 135965088 is 880569531.

135965088 is a `hidden beast` number, since 1 + 3 + 596 + 50 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5193 + ... + 17288.

It is an arithmetic number, because the mean of its divisors is an integer number (4721220).

Almost surely, 2135965088 is an apocalyptic number.

135965088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135965088 is an abundant number, since it is smaller than the sum of its proper divisors (317272032).

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

135965088 is a wasteful number, since it uses less digits than its factorization.

135965088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22507 (or 22493 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 135965088 is about 11660.4068539653. The cubic root of 135965088 is about 514.2123101584.

The spelling of 135965088 in words is "one hundred thirty-five million, nine hundred sixty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 22481 44962 67443 89924 134886 157367 179848 202329 269772 314734 359696 404658 472101 539544 606987 629468 719392 809316 944202 1079088 1213974 1258936 1416303 1618632 1888404 2158176 2427948 2517872 2832606 3237264 3776808 4248909 4855896 5035744 5665212 6474528 7553616 8497818 9711792 11330424 15107232 16995636 19423584 22660848 33991272 45321696 67982544 135965088