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135360666 = 23371133169
BaseRepresentation
bin10000001000101…
…11000010011010
3100102201000221000
420010113002122
5234123020131
621233125430
73232355340
oct1004270232
9312630830
10135360666
116a453521
12393b9876
132207478c
1413d97990
15bd3bce6
hex811709a

135360666 has 64 divisors (see below), whose sum is σ = 346924800. Its totient is φ = 38320128.

The previous prime is 135360649. The next prime is 135360679. The reversal of 135360666 is 666063531.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135360666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41130 + ... + 44298.

It is an arithmetic number, because the mean of its divisors is an integer number (5420700).

Almost surely, 2135360666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135360666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173462400).

135360666 is an abundant number, since it is smaller than the sum of its proper divisors (211564134).

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

135360666 is a wasteful number, since it uses less digits than its factorization.

135360666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 135360666 is about 11634.4602797036. The cubic root of 135360666 is about 513.4492149509.

The spelling of 135360666 in words is "one hundred thirty-five million, three hundred sixty thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 113 126 189 226 339 378 678 791 1017 1582 2034 2373 3051 3169 4746 6102 6338 7119 9507 14238 19014 21357 22183 28521 42714 44366 57042 66549 85563 133098 171126 199647 358097 399294 598941 716194 1074291 1197882 2148582 2506679 3222873 5013358 6445746 7520037 9668619 15040074 19337238 22560111 45120222 67680333 135360666