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145132543152 = 243538397463
BaseRepresentation
bin1000011100101010010…
…0101101110010110000
3111212121112111002100000
42013022210231302300
54334212412340102
6150401210030000
713325343155652
oct2071244556260
9455545432300
10145132543152
115660659a843
1224164718300
13108bc019a8c
14704b1526d2
153b9660a01c
hex21ca92dcb0

145132543152 has 120 divisors (see below), whose sum is σ = 422316969984. Its totient is φ = 48250707264.

The previous prime is 145132543141. The next prime is 145132543211. The reversal of 145132543152 is 251345231541.

145132543152 is a `hidden beast` number, since 1 + 45 + 132 + 5 + 431 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440373 + ... + 1537835.

Almost surely, 2145132543152 is an apocalyptic number.

145132543152 is a gapful number since it is divisible by the number (12) 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 145132543152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211158484992).

145132543152 is an abundant number, since it is smaller than the sum of its proper divisors (277184426832).

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

145132543152 is an equidigital number, since it uses as much as digits as its factorization.

145132543152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97869 (or 97851 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

Adding to 145132543152 its reverse (251345231541), we get a palindrome (396477774693).

The spelling of 145132543152 in words is "one hundred forty-five billion, one hundred thirty-two million, five hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 383 432 486 648 766 972 1149 1296 1532 1944 2298 3064 3447 3888 4596 6128 6894 9192 10341 13788 18384 20682 27576 31023 41364 55152 62046 82728 93069 97463 124092 165456 186138 194926 248184 292389 372276 389852 496368 584778 744552 779704 877167 1169556 1489104 1559408 1754334 2339112 2631501 3508668 4678224 5263002 7017336 7894503 10526004 14034672 15789006 21052008 23683509 31578012 37328329 42104016 47367018 63156024 74656658 94734036 111984987 126312048 149313316 189468072 223969974 298626632 335954961 378936144 447939948 597253264 671909922 895879896 1007864883 1343819844 1791759792 2015729766 2687639688 3023594649 4031459532 5375279376 6047189298 8062919064 9070783947 12094378596 16125838128 18141567894 24188757192 36283135788 48377514384 72566271576 145132543152