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134564292 = 223229612113
BaseRepresentation
bin10000000010101…
…00100111000100
3100101012120111200
420001110213010
5233422024132
621204102500
73222530502
oct1001244704
9311176450
10134564292
1169a5a165
1239094a30
1321b56155
1413c2b672
15bc30d7c
hex80549c4

134564292 has 72 divisors (see below), whose sum is σ = 357815640. Its totient is φ = 42577920.

The previous prime is 134564267. The next prime is 134564323. The reversal of 134564292 is 292465431.

It is a happy number.

134564292 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 642 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9884736 + 124679556 = 3144^2 + 11166^2 .

It is a super-2 number, since 2×1345642922 = 36215097362922528, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 62628 + ... + 64740.

Almost surely, 2134564292 is an apocalyptic number.

134564292 is a gapful number since it is divisible by the number (12) 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 134564292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178907820).

134564292 is an abundant number, since it is smaller than the sum of its proper divisors (223251348).

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

134564292 is a wasteful number, since it uses less digits than its factorization.

134564292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2208 counting only the distinct ones).

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

The square root of 134564292 is about 11600.1849985248. The cubic root of 134564292 is about 512.4403001648.

The spelling of 134564292 in words is "one hundred thirty-four million, five hundred sixty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 61 87 116 122 174 183 244 261 348 366 522 549 732 1044 1098 1769 2113 2196 3538 4226 5307 6339 7076 8452 10614 12678 15921 19017 21228 25356 31842 38034 61277 63684 76068 122554 128893 183831 245108 257786 367662 386679 515572 551493 735324 773358 1102986 1160037 1546716 2205972 2320074 3737897 4640148 7475794 11213691 14951588 22427382 33641073 44854764 67282146 134564292