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135159066 = 23272414451
BaseRepresentation
bin10000000111001…
…01110100011010
3100102022210101100
420003211310122
5234100042231
621224532230
73230555520
oct1003456432
9312283340
10135159066
116a326009
1239321076
1322003aa3
1413d44310
15bcec1e6
hex80e5d1a

135159066 has 48 divisors (see below), whose sum is σ = 336143808. Its totient is φ = 38448000.

The previous prime is 135159023. The next prime is 135159071. The reversal of 135159066 is 660951531.

135159066 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 590 + 66 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 135159066.

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, 28141 + ... + 32591.

It is an arithmetic number, because the mean of its divisors is an integer number (7002996).

Almost surely, 2135159066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135159066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168071904).

135159066 is an abundant number, since it is smaller than the sum of its proper divisors (200984742).

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

135159066 is a wasteful number, since it uses less digits than its factorization.

135159066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4707 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 135159066 is about 11625.7931342339. The cubic root of 135159066 is about 513.1941856880.

It can be divided in two parts, 135 and 159066, that added together give a square (159201 = 3992).

The spelling of 135159066 in words is "one hundred thirty-five million, one hundred fifty-nine thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 241 482 723 1446 1687 2169 3374 4338 4451 5061 8902 10122 13353 15183 26706 30366 31157 40059 62314 80118 93471 186942 280413 560826 1072691 2145382 3218073 6436146 7508837 9654219 15017674 19308438 22526511 45053022 67579533 135159066