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145513500 = 22353118819
BaseRepresentation
bin10001010110001…
…01110000011100
3101010210211222220
420223011300130
5244222413000
622234505340
73414562416
oct1053056034
9333724886
10145513500
11751584a0
1240895250
13241baa82
141547b9b6
15cb951a0
hex8ac5c1c

145513500 has 96 divisors (see below), whose sum is σ = 462309120. Its totient is φ = 35272000.

The previous prime is 145513499. The next prime is 145513507. The reversal of 145513500 is 5315541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145513507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12091 + ... + 20909.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2145513500 is an apocalyptic number.

145513500 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 145513500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

145513500 is an abundant number, since it is smaller than the sum of its proper divisors (316795620).

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

145513500 is a wasteful number, since it uses less digits than its factorization.

145513500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8840 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 145513500 is about 12062.8976618390. The cubic root of 145513500 is about 525.9782215197.

The spelling of 145513500 in words is "one hundred forty-five million, five hundred thirteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 660 750 825 1100 1375 1500 1650 2750 3300 4125 5500 8250 8819 16500 17638 26457 35276 44095 52914 88190 97009 105828 132285 176380 194018 220475 264570 291027 388036 440950 485045 529140 582054 661425 881900 970090 1102375 1164108 1322850 1455135 1940180 2204750 2425225 2645700 2910270 3307125 4409500 4850450 5820540 6614250 7275675 9700900 12126125 13228500 14551350 24252250 29102700 36378375 48504500 72756750 145513500