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145541000 = 235311101131
BaseRepresentation
bin10001010110011…
…00011110001000
3101010212020201102
420223030132020
5244224303000
622235240532
73415035533
oct1053143610
9333766642
10145541000
1175177120
12408a9148
13241ca447
1415487a1a
15cb9d3d5
hex8acc788

145541000 has 128 divisors (see below), whose sum is σ = 378069120. Its totient is φ = 52000000.

The previous prime is 145540981. The next prime is 145541003. The reversal of 145541000 is 145541.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145541003) 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, 1110935 + ... + 1111065.

It is an arithmetic number, because the mean of its divisors is an integer number (2953665).

Almost surely, 2145541000 is an apocalyptic number.

145541000 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 145541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189034560).

145541000 is an abundant number, since it is smaller than the sum of its proper divisors (232528120).

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

145541000 is a wasteful number, since it uses less digits than its factorization.

145541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 145541000 is about 12064.0374667853. The cubic root of 145541000 is about 526.0113535888.

Adding to 145541000 its reverse (145541), we get a palindrome (145686541).

145541000 divided by its reverse (145541) gives a cube (1000 = 103).

It can be divided in two parts, 145 and 541000, that added together give a palindrome (541145).

The spelling of 145541000 in words is "one hundred forty-five million, five hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 131 200 202 220 250 262 275 404 440 500 505 524 550 655 808 1000 1010 1048 1100 1111 1310 1375 1441 2020 2200 2222 2525 2620 2750 2882 3275 4040 4444 5050 5240 5500 5555 5764 6550 7205 8888 10100 11000 11110 11528 12625 13100 13231 14410 16375 20200 22220 25250 26200 26462 27775 28820 32750 36025 44440 50500 52924 55550 57640 65500 66155 72050 101000 105848 111100 131000 132310 138875 144100 145541 180125 222200 264620 277750 288200 291082 330775 360250 529240 555500 582164 661550 720500 727705 1111000 1164328 1323100 1441000 1455410 1653875 2646200 2910820 3307750 3638525 5821640 6615500 7277050 13231000 14554100 18192625 29108200 36385250 72770500 145541000