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144134500 = 22531731547
BaseRepresentation
bin10001001011101…
…01000101100100
3101001012210100211
420211311011210
5243344301000
622145145204
73400060126
oct1045650544
9331183324
10144134500
11743a6424
124032b204
1323b271b3
14151dd216
15c9c17ba
hex8975164

144134500 has 96 divisors (see below), whose sum is σ = 344687616. Its totient is φ = 52416000.

The previous prime is 144134467. The next prime is 144134509. The reversal of 144134500 is 5431441.

It is not an unprimeable number, because it can be changed into a prime (144134509) 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, 263227 + ... + 263773.

It is an arithmetic number, because the mean of its divisors is an integer number (3590496).

Almost surely, 2144134500 is an apocalyptic number.

144134500 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 144134500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172343808).

144134500 is an abundant number, since it is smaller than the sum of its proper divisors (200553116).

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

144134500 is a wasteful number, since it uses less digits than its factorization.

144134500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 144134500 is about 12005.6028586656. The cubic root of 144134500 is about 524.3114177443.

Adding to 144134500 its reverse (5431441), we get a palindrome (149565941).

The spelling of 144134500 in words is "one hundred forty-four million, one hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 125 155 170 250 310 340 425 500 527 547 620 775 850 1054 1094 1550 1700 2108 2125 2188 2635 2735 3100 3875 4250 5270 5470 7750 8500 9299 10540 10940 13175 13675 15500 16957 18598 26350 27350 33914 37196 46495 52700 54700 65875 67828 68375 84785 92990 131750 136750 169570 185980 232475 263500 273500 288269 339140 423925 464950 576538 847850 929900 1153076 1162375 1441345 1695700 2119625 2324750 2882690 4239250 4649500 5765380 7206725 8478500 14413450 28826900 36033625 72067250 144134500