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134385504 = 25311223503
BaseRepresentation
bin10000000001010…
…00111101100000
3100100212111020220
420000220331200
5233400314004
621200203040
73221154321
oct1000507540
9310774226
10134385504
1169947900
1239009480
1321ac2966
1413bc2448
15bbe7dd9
hex8028f60

134385504 has 144 divisors (see below), whose sum is σ = 405409536. Its totient is φ = 38874880.

The previous prime is 134385487. The next prime is 134385509. The reversal of 134385504 is 405583431.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134385509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266917 + ... + 267419.

It is an arithmetic number, because the mean of its divisors is an integer number (2815344).

Almost surely, 2134385504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134385504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202704768).

134385504 is an abundant number, since it is smaller than the sum of its proper divisors (271024032).

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

134385504 is a wasteful number, since it uses less digits than its factorization.

134385504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 134385504 is about 11592.4761806958. The cubic root of 134385504 is about 512.2132493849.

The spelling of 134385504 in words is "one hundred thirty-four million, three hundred eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 121 132 138 176 184 242 253 264 276 352 363 368 484 503 506 528 552 726 736 759 968 1006 1012 1056 1104 1452 1509 1518 1936 2012 2024 2208 2783 2904 3018 3036 3872 4024 4048 5533 5566 5808 6036 6072 8048 8096 8349 11066 11132 11569 11616 12072 12144 16096 16599 16698 22132 22264 23138 24144 24288 33198 33396 34707 44264 44528 46276 48288 60863 66396 66792 69414 88528 89056 92552 121726 127259 132792 133584 138828 177056 182589 185104 243452 254518 265584 267168 277656 365178 370208 381777 486904 509036 531168 555312 730356 763554 973808 1018072 1110624 1399849 1460712 1527108 1947616 2036144 2799698 2921424 3054216 4072288 4199547 5599396 5842848 6108432 8399094 11198792 12216864 16798188 22397584 33596376 44795168 67192752 134385504