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134958000 = 2435383271
BaseRepresentation
bin10000000101101…
…00101110110000
3100101221120120110
420002310232300
5234022124000
621220341320
73226060362
oct1002645660
9311846513
10134958000
116a1a8a41
1239244840
1321c63408
1413cd0d32
15bcac850
hex80b4bb0

134958000 has 160 divisors (see below), whose sum is σ = 441971712. Its totient is φ = 35424000.

The previous prime is 134957993. The next prime is 134958013. The reversal of 134958000 is 859431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497865 + ... + 498135.

Almost surely, 2134958000 is an apocalyptic number.

134958000 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 134958000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220985856).

134958000 is an abundant number, since it is smaller than the sum of its proper divisors (307013712).

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

134958000 is a wasteful number, since it uses less digits than its factorization.

134958000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 134958000 is about 11617.1425057972. The cubic root of 134958000 is about 512.9395792334.

The spelling of 134958000 in words is "one hundred thirty-four million, nine hundred fifty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 83 100 120 125 150 166 200 240 249 250 271 300 332 375 400 415 498 500 542 600 664 750 813 830 996 1000 1084 1200 1245 1328 1355 1500 1626 1660 1992 2000 2075 2168 2490 2710 3000 3252 3320 3984 4065 4150 4336 4980 5420 6000 6225 6504 6640 6775 8130 8300 9960 10375 10840 12450 13008 13550 16260 16600 19920 20325 20750 21680 22493 24900 27100 31125 32520 33200 33875 40650 41500 44986 49800 54200 62250 65040 67479 67750 81300 83000 89972 99600 101625 108400 112465 124500 134958 135500 162600 166000 179944 203250 224930 249000 269916 271000 325200 337395 359888 406500 449860 498000 539832 542000 562325 674790 813000 899720 1079664 1124650 1349580 1626000 1686975 1799440 2249300 2699160 2811625 3373950 4498600 5398320 5623250 6747900 8434875 8997200 11246500 13495800 16869750 22493000 26991600 33739500 44986000 67479000 134958000