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132075450 = 2325213107211
BaseRepresentation
bin1111101111101…
…00111110111010
3100012112010110100
413313310332322
5232302403300
621034500230
73162423423
oct767647672
9305463410
10132075450
116860a271
1238294676
1321494370
141378064a
15b8dd700
hex7df4fba

132075450 has 144 divisors (see below), whose sum is σ = 387537696. Its totient is φ = 32054400.

The previous prime is 132075443. The next prime is 132075467. The reversal of 132075450 is 54570231.

It is a happy number.

132075450 is a `hidden beast` number, since 1 + 3 + 207 + 5 + 450 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 625845 + ... + 626055.

It is an arithmetic number, because the mean of its divisors is an integer number (2691234).

Almost surely, 2132075450 is an apocalyptic number.

132075450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132075450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193768848).

132075450 is an abundant number, since it is smaller than the sum of its proper divisors (255462246).

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

132075450 is a wasteful number, since it uses less digits than its factorization.

132075450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 132075450 is about 11492.4083637852. The cubic root of 132075450 is about 509.2613297237.

The spelling of 132075450 in words is "one hundred thirty-two million, seventy-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 107 117 130 150 195 211 214 225 234 321 325 390 422 450 535 585 633 642 650 963 975 1055 1070 1170 1266 1391 1605 1899 1926 1950 2110 2675 2743 2782 2925 3165 3210 3798 4173 4815 5275 5350 5486 5850 6330 6955 8025 8229 8346 9495 9630 10550 12519 13715 13910 15825 16050 16458 18990 20865 22577 24075 24687 25038 27430 31650 34775 41145 41730 45154 47475 48150 49374 62595 67731 68575 69550 82290 94950 104325 112885 123435 125190 135462 137150 203193 205725 208650 225770 246870 293501 312975 338655 406386 411450 564425 587002 617175 625950 677310 880503 1015965 1128850 1234350 1467505 1693275 1761006 2031930 2641509 2935010 3386550 4402515 5079825 5283018 7337525 8805030 10159650 13207545 14675050 22012575 26415090 44025150 66037725 132075450