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135566442 = 232111016779
BaseRepresentation
bin10000001010010…
…01010001101010
3100110002111012100
420011021101222
5234201111232
621241354230
73234203304
oct1005112152
9313074170
10135566442
116a584090
1239498976
132211733b
141400c974
15bd7cc7c
hex814946a

135566442 has 48 divisors (see below), whose sum is σ = 323650080. Its totient is φ = 40668000.

The previous prime is 135566429. The next prime is 135566467. The reversal of 135566442 is 244665531.

135566442 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 6 + 644 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135566397 and 135566406.

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, 16609 + ... + 23387.

It is an arithmetic number, because the mean of its divisors is an integer number (6742710).

Almost surely, 2135566442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135566442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161825040).

135566442 is an abundant number, since it is smaller than the sum of its proper divisors (188083638).

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

135566442 is a wasteful number, since it uses less digits than its factorization.

135566442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6899 (or 6896 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 135566442 is about 11643.3003053258. The cubic root of 135566442 is about 513.7092659554.

The spelling of 135566442 in words is "one hundred thirty-five million, five hundred sixty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 606 909 1111 1818 2222 3333 6666 6779 9999 13558 19998 20337 40674 61011 74569 122022 149138 223707 447414 671121 684679 1342242 1369358 2054037 4108074 6162111 7531469 12324222 15062938 22594407 45188814 67783221 135566442