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135778266 = 232133791531
BaseRepresentation
bin10000001011111…
…00111111011010
3100110111020202200
420011330333122
5234224401031
621250111030
73236045001
oct1005747732
9313436680
10135778266
116a709248
123957b476
132218c890
1414065c38
15bdc08e6
hex817cfda

135778266 has 48 divisors (see below), whose sum is σ = 317859360. Its totient is φ = 41640480.

The previous prime is 135778249. The next prime is 135778277. The reversal of 135778266 is 662877531.

135778266 is a `hidden beast` number, since 13 + 577 + 8 + 2 + 66 = 666.

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, 87921 + ... + 89451.

It is an arithmetic number, because the mean of its divisors is an integer number (6622070).

Almost surely, 2135778266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135778266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158929680).

135778266 is an abundant number, since it is smaller than the sum of its proper divisors (182081094).

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

135778266 is a wasteful number, since it uses less digits than its factorization.

135778266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1928 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 135778266 is about 11652.3931447579. The cubic root of 135778266 is about 513.9766854429.

The spelling of 135778266 in words is "one hundred thirty-five million, seven hundred seventy-eight thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 379 758 1137 1531 2274 3062 3411 4593 4927 6822 9186 9854 13779 14781 19903 27558 29562 39806 44343 59709 88686 119418 179127 358254 580249 1160498 1740747 3481494 5222241 7543237 10444482 15086474 22629711 45259422 67889133 135778266