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145549120 = 2651937647
BaseRepresentation
bin10001010110011…
…10011101000000
3101010212122212011
420223032131000
5244230032440
622235342304
73415101313
oct1053163500
9333778764
10145549120
1175182232
12408b1994
1324201052
141548a97a
15cba09ea
hex8ace740

145549120 has 112 divisors (see below), whose sum is σ = 375269760. Its totient is φ = 53581824.

The previous prime is 145549099. The next prime is 145549153. The reversal of 145549120 is 21945541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224637 + ... + 225283.

Almost surely, 2145549120 is an apocalyptic number.

145549120 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 145549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187634880).

145549120 is an abundant number, since it is smaller than the sum of its proper divisors (229720640).

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

145549120 is a wasteful number, since it uses less digits than its factorization.

145549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 145549120 is about 12064.3739995078. The cubic root of 145549120 is about 526.0211357871.

The spelling of 145549120 in words is "one hundred forty-five million, five hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 37 38 40 64 74 76 80 95 148 152 160 185 190 296 304 320 370 380 592 608 647 703 740 760 1184 1216 1294 1406 1480 1520 2368 2588 2812 2960 3040 3235 3515 5176 5624 5920 6080 6470 7030 10352 11248 11840 12293 12940 14060 20704 22496 23939 24586 25880 28120 41408 44992 47878 49172 51760 56240 61465 95756 98344 103520 112480 119695 122930 191512 196688 207040 224960 239390 245860 383024 393376 454841 478780 491720 766048 786752 909682 957560 983440 1532096 1819364 1915120 1966880 2274205 3638728 3830240 3933760 4548410 7277456 7660480 9096820 14554912 18193640 29109824 36387280 72774560 145549120