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132145500 = 22353372381
BaseRepresentation
bin1111110000001…
…10000101011100
3100012122200112210
413320012011130
5232312124000
621040200420
73163134564
oct770060534
9305580483
10132145500
1168657963
1238309110
13214ba206
141379bda4
15b904350
hex7e0615c

132145500 has 96 divisors (see below), whose sum is σ = 395373888. Its totient is φ = 34272000.

The previous prime is 132145499. The next prime is 132145523. The reversal of 132145500 is 5541231.

132145500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 54310 + ... + 56690.

It is an arithmetic number, because the mean of its divisors is an integer number (4118478).

Almost surely, 2132145500 is an apocalyptic number.

132145500 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 132145500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197686944).

132145500 is an abundant number, since it is smaller than the sum of its proper divisors (263228388).

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

132145500 is a wasteful number, since it uses less digits than its factorization.

132145500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 132145500 is about 11495.4556238541. The cubic root of 132145500 is about 509.3513475913.

Adding to 132145500 its reverse (5541231), we get a palindrome (137686731).

The spelling of 132145500 in words is "one hundred thirty-two million, one hundred forty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 125 148 150 185 222 250 300 370 375 444 500 555 740 750 925 1110 1500 1850 2220 2381 2775 3700 4625 4762 5550 7143 9250 9524 11100 11905 13875 14286 18500 23810 27750 28572 35715 47620 55500 59525 71430 88097 119050 142860 176194 178575 238100 264291 297625 352388 357150 440485 528582 595250 714300 880970 892875 1057164 1190500 1321455 1761940 1785750 2202425 2642910 3571500 4404850 5285820 6607275 8809700 11012125 13214550 22024250 26429100 33036375 44048500 66072750 132145500