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145532533320 = 233252631537099
BaseRepresentation
bin1000011110001001101…
…0100011101001001000
3111220122102010200200200
42013202122203221020
54341022312031240
6150505015132200
713341301060026
oct2074232435110
9456572120620
10145532533320
11567a1359329
1224256674060
1310953b56a55
147088313716
153bbb7ba930
hex21e26a3a48

145532533320 has 96 divisors (see below), whose sum is σ = 474779448000. Its totient is φ = 38661088896.

The previous prime is 145532533309. The next prime is 145532533379. The reversal of 145532533320 is 23335235541.

145532533320 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 325 + 3 + 3 + 320 = 666.

It is a super-3 number, since 3×1455325333203 (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673870 + ... + 863229.

It is an arithmetic number, because the mean of its divisors is an integer number (4945619250).

Almost surely, 2145532533320 is an apocalyptic number.

145532533320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145532533320 is an abundant number, since it is smaller than the sum of its proper divisors (329246914680).

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

145532533320 is a wasteful number, since it uses less digits than its factorization.

145532533320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537379 (or 1537372 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 145532533320 its reverse (23335235541), we get a palindrome (168867768861).

The spelling of 145532533320 in words is "one hundred forty-five billion, five hundred thirty-two million, five hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 263 360 526 789 1052 1315 1578 2104 2367 2630 3156 3945 4734 5260 6312 7890 9468 10520 11835 15780 18936 23670 31560 47340 94680 1537099 3074198 4611297 6148396 7685495 9222594 12296792 13833891 15370990 18445188 23056485 27667782 30741980 36890376 46112970 55335564 61483960 69169455 92225940 110671128 138338910 184451880 276677820 404257037 553355640 808514074 1212771111 1617028148 2021285185 2425542222 3234056296 3638313333 4042570370 4851084444 6063855555 7276626666 8085140740 9702168888 12127711110 14553253332 16170281480 18191566665 24255422220 29106506664 36383133330 48510844440 72766266660 145532533320