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134644000 = 255341821
BaseRepresentation
bin10000000011010…
…00000100100000
3100101100121211211
420001220010200
5233432102000
621205515504
73223312051
oct1001500440
9311317754
10134644000
116a004037
1239112b94
1321b8350a
1413c4c728
15bc497ba
hex8068120

134644000 has 96 divisors (see below), whose sum is σ = 339301872. Its totient is φ = 52480000.

The previous prime is 134643983. The next prime is 134644007. The reversal of 134644000 is 446431.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6411024 + 128232976 = 2532^2 + 11324^2 .

It is not an unprimeable number, because it can be changed into a prime (134644007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163590 + ... + 164410.

Almost surely, 2134644000 is an apocalyptic number.

134644000 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 134644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169650936).

134644000 is an abundant number, since it is smaller than the sum of its proper divisors (204657872).

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

134644000 is an equidigital number, since it uses as much as digits as its factorization.

134644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 134644000 is about 11603.6201247714. The cubic root of 134644000 is about 512.5414600605.

The spelling of 134644000 in words is "one hundred thirty-four million, six hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 656 800 820 821 1000 1025 1312 1640 1642 2000 2050 3280 3284 4000 4100 4105 5125 6560 6568 8200 8210 10250 13136 16400 16420 20500 20525 26272 32800 32840 33661 41000 41050 65680 67322 82000 82100 102625 131360 134644 164000 164200 168305 205250 269288 328400 336610 410500 538576 656800 673220 821000 841525 1077152 1346440 1642000 1683050 2692880 3284000 3366100 4207625 5385760 6732200 8415250 13464400 16830500 26928800 33661000 67322000 134644000