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145544100 = 223521367557
BaseRepresentation
bin10001010110011…
…01001110100100
3101010212101222020
420223031032210
5244224402400
622235303140
73415050552
oct1053151644
9333771866
10145544100
1175179489
12408aaab0
13241cb990
1415488bd2
15cb9e2a0
hex8acd3a4

145544100 has 144 divisors (see below), whose sum is σ = 461095488. Its totient is φ = 35228160.

The previous prime is 145544099. The next prime is 145544111. The reversal of 145544100 is 1445541.

It is a happy number.

145544100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 261022 + ... + 261578.

It is an arithmetic number, because the mean of its divisors is an integer number (3202052).

Almost surely, 2145544100 is an apocalyptic number.

145544100 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 145544100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230547744).

145544100 is an abundant number, since it is smaller than the sum of its proper divisors (315551388).

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

145544100 is a wasteful number, since it uses less digits than its factorization.

145544100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 145544100 is about 12064.1659471345. The cubic root of 145544100 is about 526.0150882148.

Adding to 145544100 its reverse (1445541), we get a palindrome (146989641).

The spelling of 145544100 in words is "one hundred forty-five million, five hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 67 75 78 100 130 134 150 156 195 201 260 268 300 325 335 390 402 557 650 670 780 804 871 975 1005 1114 1300 1340 1671 1675 1742 1950 2010 2228 2613 2785 3342 3350 3484 3900 4020 4355 5025 5226 5570 6684 6700 7241 8355 8710 10050 10452 11140 13065 13925 14482 16710 17420 20100 21723 21775 26130 27850 28964 33420 36205 37319 41775 43446 43550 52260 55700 65325 72410 74638 83550 86892 87100 108615 111957 130650 144820 149276 167100 181025 186595 217230 223914 261300 362050 373190 434460 447828 485147 543075 559785 724100 746380 932975 970294 1086150 1119570 1455441 1865950 1940588 2172300 2239140 2425735 2798925 2910882 3731900 4851470 5597850 5821764 7277205 9702940 11195700 12128675 14554410 24257350 29108820 36386025 48514700 72772050 145544100