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134166564 = 223371031723
BaseRepresentation
bin1111111111100…
…11100000100100
3100100110100221000
413333303200210
5233321312224
621151353300
73216253110
oct777634044
9310410830
10134166564
1169808364
1238b22830
1321a470cc
1413b66740
15bba30c9
hex7ff3824

134166564 has 96 divisors (see below), whose sum is σ = 401623040. Its totient is φ = 37939104.

The previous prime is 134166559. The next prime is 134166587. The reversal of 134166564 is 465661431.

It is a happy number.

134166564 is a `hidden beast` number, since 1 + 34 + 1 + 66 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 77007 + ... + 78729.

Almost surely, 2134166564 is an apocalyptic number.

134166564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134166564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200811520).

134166564 is an abundant number, since it is smaller than the sum of its proper divisors (267456476).

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

134166564 is a wasteful number, since it uses less digits than its factorization.

134166564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1838 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 134166564 is about 11583.0291374925. The cubic root of 134166564 is about 511.9349333412.

The spelling of 134166564 in words is "one hundred thirty-four million, one hundred sixty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 103 108 126 189 206 252 309 378 412 618 721 756 927 1236 1442 1723 1854 2163 2781 2884 3446 3708 4326 5169 5562 6489 6892 8652 10338 11124 12061 12978 15507 19467 20676 24122 25956 31014 36183 38934 46521 48244 62028 72366 77868 93042 108549 144732 177469 186084 217098 325647 354938 434196 532407 651294 709876 1064814 1242283 1302588 1597221 2129628 2484566 3194442 3726849 4791663 4969132 6388884 7453698 9583326 11180547 14907396 19166652 22361094 33541641 44722188 67083282 134166564