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133147000 = 2353723827
BaseRepresentation
bin1111110111110…
…10100101111000
3100021112120100101
413323322211320
5233041201000
621113445144
73204505450
oct773724570
9307476311
10133147000
1169181348
12387107b4
132177b00c
141397cd60
15ba50e6a
hex7efa978

133147000 has 128 divisors (see below), whose sum is σ = 372003840. Its totient is φ = 43612800.

The previous prime is 133146989. The next prime is 133147019. The reversal of 133147000 is 741331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160587 + ... + 161413.

It is an arithmetic number, because the mean of its divisors is an integer number (2906280).

Almost surely, 2133147000 is an apocalyptic number.

133147000 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 133147000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186001920).

133147000 is an abundant number, since it is smaller than the sum of its proper divisors (238856840).

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

133147000 is a wasteful number, since it uses less digits than its factorization.

133147000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 133147000 is about 11538.9340928874. The cubic root of 133147000 is about 510.6348623316.

Adding to 133147000 its reverse (741331), we get a palindrome (133888331).

The spelling of 133147000 in words is "one hundred thirty-three million, one hundred forty-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 125 140 161 175 184 200 230 250 280 322 350 460 500 575 644 700 805 827 875 920 1000 1150 1288 1400 1610 1654 1750 2300 2875 3220 3308 3500 4025 4135 4600 5750 5789 6440 6616 7000 8050 8270 11500 11578 16100 16540 19021 20125 20675 23000 23156 28945 32200 33080 38042 40250 41350 46312 57890 76084 80500 82700 95105 103375 115780 133147 144725 152168 161000 165400 190210 206750 231560 266294 289450 380420 413500 475525 532588 578900 665735 723625 760840 827000 951050 1065176 1157800 1331470 1447250 1902100 2377625 2662940 2894500 3328675 3804200 4755250 5325880 5789000 6657350 9510500 13314700 16643375 19021000 26629400 33286750 66573500 133147000