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134546640 = 2435896299
BaseRepresentation
bin10000000010100…
…00010011010000
3100101011200021220
420001100103100
5233420443030
621203445040
73222425154
oct1001202320
9311150256
10134546640
1169a47978
1239086780
1321b4b0c7
1413c25064
15bc2aa10
hex80504d0

134546640 has 80 divisors (see below), whose sum is σ = 421848000. Its totient is φ = 35470336.

The previous prime is 134546639. The next prime is 134546647. The reversal of 134546640 is 46645431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134546647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18211 + ... + 24509.

It is an arithmetic number, because the mean of its divisors is an integer number (5273100).

Almost surely, 2134546640 is an apocalyptic number.

134546640 is a gapful number since it is divisible by the number (10) 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 134546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210924000).

134546640 is an abundant number, since it is smaller than the sum of its proper divisors (287301360).

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

134546640 is a wasteful number, since it uses less digits than its factorization.

134546640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6404 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 134546640 is about 11599.4241236365. The cubic root of 134546640 is about 512.4178920613.

The spelling of 134546640 in words is "one hundred thirty-four million, five hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 2136 2670 3560 4272 5340 6299 7120 10680 12598 18897 21360 25196 31495 37794 50392 62990 75588 94485 100784 125980 151176 188970 251960 302352 377940 503920 560611 755880 1121222 1511760 1681833 2242444 2803055 3363666 4484888 5606110 6727332 8409165 8969776 11212220 13454664 16818330 22424440 26909328 33636660 44848880 67273320 134546640