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145531332 = 2232127139229
BaseRepresentation
bin10001010110010…
…10000111000100
3101010211202110100
420223022013010
5244224000312
622235124100
73414665412
oct1053120704
9333752410
10145531332
117516a931
12408a3630
13241c5c1b
14154842b2
15cb9a5dc
hex8aca1c4

145531332 has 72 divisors (see below), whose sum is σ = 375065600. Its totient is φ = 47573568.

The previous prime is 145531301. The next prime is 145531333. The reversal of 145531332 is 233135541.

It is a junction number, because it is equal to n+sod(n) for n = 145531296 and 145531305.

It is not an unprimeable number, because it can be changed into a prime (145531333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635394 + ... + 635622.

Almost surely, 2145531332 is an apocalyptic number.

145531332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145531332 is an abundant number, since it is smaller than the sum of its proper divisors (229534268).

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

145531332 is a wasteful number, since it uses less digits than its factorization.

145531332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 500 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 145531332 is about 12063.6367650887. The cubic root of 145531332 is about 525.9997060338. Note that the first 3 decimals are identical.

Adding to 145531332 its reverse (233135541), we get a palindrome (378666873).

The spelling of 145531332 in words is "one hundred forty-five million, five hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 127 139 229 254 278 381 417 458 508 556 687 762 834 916 1143 1251 1374 1524 1668 2061 2286 2502 2748 4122 4572 5004 8244 17653 29083 31831 35306 52959 58166 63662 70612 87249 95493 105918 116332 127324 158877 174498 190986 211836 261747 286479 317754 348996 381972 523494 572958 635508 1046988 1145916 4042537 8085074 12127611 16170148 24255222 36382833 48510444 72765666 145531332