Search a number
-
+
134745000 = 2335413691
BaseRepresentation
bin10000000100000…
…00101110101000
3100101112202101120
420002000232220
5233443320000
621212015240
73224212365
oct1002005650
9311482346
10134745000
116a072a05
1239161520
1321bba490
1413c7746c
15bc696a0
hex8080ba8

134745000 has 160 divisors (see below), whose sum is σ = 453979680. Its totient is φ = 33120000.

The previous prime is 134744959. The next prime is 134745019. The reversal of 134745000 is 547431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194655 + ... + 195345.

It is an arithmetic number, because the mean of its divisors is an integer number (2837373).

Almost surely, 2134745000 is an apocalyptic number.

134745000 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 134745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226989840).

134745000 is an abundant number, since it is smaller than the sum of its proper divisors (319234680).

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

134745000 is a wasteful number, since it uses less digits than its factorization.

134745000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 134745000 is about 11607.9713989999. The cubic root of 134745000 is about 512.6695849652.

The spelling of 134745000 in words is "one hundred thirty-four million, seven hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 625 650 691 750 780 975 1000 1250 1300 1382 1500 1560 1625 1875 1950 2073 2500 2600 2764 3000 3250 3455 3750 3900 4146 4875 5000 5528 6500 6910 7500 7800 8125 8292 8983 9750 10365 13000 13820 15000 16250 16584 17275 17966 19500 20730 24375 26949 27640 32500 34550 35932 39000 41460 44915 48750 51825 53898 65000 69100 71864 82920 86375 89830 97500 103650 107796 134745 138200 172750 179660 195000 207300 215592 224575 259125 269490 345500 359320 414600 431875 449150 518250 538980 673725 691000 863750 898300 1036500 1077960 1122875 1295625 1347450 1727500 1796600 2073000 2245750 2591250 2694900 3368625 3455000 4491500 5182500 5389800 5614375 6737250 8983000 10365000 11228750 13474500 16843125 22457500 26949000 33686250 44915000 67372500 134745000