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145123000 = 23531179167
BaseRepresentation
bin10001010011001…
…10011010111000
3101010002000022221
420221212122320
5244122414000
622222253424
73411345061
oct1051463270
9333060287
10145123000
1174a11070
1240727274
13240b20c9
14153b9568
15cb1961a
hex8a666b8

145123000 has 128 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 51792000.

The previous prime is 145122941. The next prime is 145123019. The reversal of 145123000 is 321541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 868917 + ... + 869083.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2145123000 is an apocalyptic number.

145123000 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 145123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

145123000 is an abundant number, since it is smaller than the sum of its proper divisors (232272200).

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

145123000 is a wasteful number, since it uses less digits than its factorization.

145123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 145123000 is about 12046.7007931632. The cubic root of 145123000 is about 525.5072949914.

Adding to 145123000 its reverse (321541), we get a palindrome (145444541).

The spelling of 145123000 in words is "one hundred forty-five million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 79 88 100 110 125 158 167 200 220 250 275 316 334 395 440 500 550 632 668 790 835 869 1000 1100 1336 1375 1580 1670 1738 1837 1975 2200 2750 3160 3340 3476 3674 3950 4175 4345 5500 6680 6952 7348 7900 8350 8690 9185 9875 11000 13193 14696 15800 16700 17380 18370 19750 20875 21725 26386 33400 34760 36740 39500 41750 43450 45925 52772 65965 73480 79000 83500 86900 91850 105544 108625 131930 145123 167000 173800 183700 217250 229625 263860 290246 329825 367400 434500 459250 527720 580492 659650 725615 869000 918500 1160984 1319300 1451230 1649125 1837000 2638600 2902460 3298250 3628075 5804920 6596500 7256150 13193000 14512300 18140375 29024600 36280750 72561500 145123000