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132187500 = 22325747
BaseRepresentation
bin1111110000100…
…00010101101100
3100012201211011100
413320100111230
5232320000000
621041123100
73163401204
oct770202554
9305654140
10132187500
1168686475
1238329490
1321503373
14137ad404
15b911a00
hex7e1056c

132187500 has 144 divisors (see below), whose sum is σ = 426561408. Its totient is φ = 34500000.

The previous prime is 132187499. The next prime is 132187537. The reversal of 132187500 is 5781231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2812477 + ... + 2812523.

It is an arithmetic number, because the mean of its divisors is an integer number (2962232).

Almost surely, 2132187500 is an apocalyptic number.

132187500 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 132187500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213280704).

132187500 is an abundant number, since it is smaller than the sum of its proper divisors (294373908).

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

132187500 is an frugal number, since it uses more digits than its factorization.

132187500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 132187500 is about 11497.2822875669. The cubic root of 132187500 is about 509.4053045064.

The spelling of 132187500 in words is "one hundred thirty-two million, one hundred eighty-seven thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 47 50 60 75 90 94 100 125 141 150 180 188 225 235 250 282 300 375 423 450 470 500 564 625 705 750 846 900 940 1125 1175 1250 1410 1500 1692 1875 2115 2250 2350 2500 2820 3125 3525 3750 4230 4500 4700 5625 5875 6250 7050 7500 8460 9375 10575 11250 11750 12500 14100 15625 17625 18750 21150 22500 23500 28125 29375 31250 35250 37500 42300 46875 52875 56250 58750 62500 70500 78125 88125 93750 105750 112500 117500 140625 146875 156250 176250 187500 211500 234375 264375 281250 293750 312500 352500 440625 468750 528750 562500 587500 703125 734375 881250 937500 1057500 1321875 1406250 1468750 1762500 2203125 2643750 2812500 2937500 3671875 4406250 5287500 6609375 7343750 8812500 11015625 13218750 14687500 22031250 26437500 33046875 44062500 66093750 132187500