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145533000 = 23353139349
BaseRepresentation
bin10001010110010…
…10100001001000
3101010211211202010
420223022201020
5244224024000
622235135520
73415003314
oct1053124110
9333754663
10145533000
1175171108
12408a45a0
13241c6902
1415484b44
15cb9ad50
hex8aca848

145533000 has 128 divisors (see below), whose sum is σ = 458640000. Its totient is φ = 38419200.

The previous prime is 145532993. The next prime is 145533053. The reversal of 145533000 is 335541.

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, 416826 + ... + 417174.

It is an arithmetic number, because the mean of its divisors is an integer number (3583125).

Almost surely, 2145533000 is an apocalyptic number.

145533000 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 145533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229320000).

145533000 is an abundant number, since it is smaller than the sum of its proper divisors (313107000).

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

145533000 is a wasteful number, since it uses less digits than its factorization.

145533000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 145533000 is about 12063.7058982719. The cubic root of 145533000 is about 526.0017155992.

Adding to 145533000 its reverse (335541), we get a palindrome (145868541).

The spelling of 145533000 in words is "one hundred forty-five million, five hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 139 150 200 250 278 300 349 375 417 500 556 600 695 698 750 834 1000 1047 1112 1390 1396 1500 1668 1745 2085 2094 2780 2792 3000 3336 3475 3490 4170 4188 5235 5560 6950 6980 8340 8376 8725 10425 10470 13900 13960 16680 17375 17450 20850 20940 26175 27800 34750 34900 41700 41880 43625 48511 52125 52350 69500 69800 83400 87250 97022 104250 104700 130875 139000 145533 174500 194044 208500 209400 242555 261750 291066 349000 388088 417000 485110 523500 582132 727665 970220 1047000 1164264 1212775 1455330 1940440 2425550 2910660 3638325 4851100 5821320 6063875 7276650 9702200 12127750 14553300 18191625 24255500 29106600 36383250 48511000 72766500 145533000