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132131555252000 = 255349516671963
BaseRepresentation
bin11110000010110001000110…
…011010100001011100100000
3122022211122122021021101000122
4132002301012122201130200
5114304320411121031000
61145004222024335412
736555122054332343
oct3602610632413440
9568748567241018
10132131555252000
1139112750305a77
121299bb92614568
135895c4bc8a125
14248b2b68c045a
1510420a1bea085
hex782c466a1720

132131555252000 has 96 divisors (see below), whose sum is σ = 324712851974784. Its totient is φ = 52841939040000.

The previous prime is 132131555251991. The next prime is 132131555252009. The reversal of 132131555252000 is 252555131231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132131555251991) and next prime (132131555252009).

It is not an unprimeable number, because it can be changed into a prime (132131555252009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16468019 + ... + 23139981.

It is an arithmetic number, because the mean of its divisors is an integer number (3382425541404).

Almost surely, 2132131555252000 is an apocalyptic number.

132131555252000 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 132131555252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162356425987392).

132131555252000 is an abundant number, since it is smaller than the sum of its proper divisors (192581296722784).

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

132131555252000 is an equidigital number, since it uses as much as digits as its factorization.

132131555252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6676939 (or 6676921 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 132131555252000 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, five hundred fifty-five million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 4951 9902 19804 24755 39608 49510 79216 99020 123775 158432 198040 247550 396080 495100 618875 792160 990200 1237750 1980400 2475500 3960800 4951000 6671963 9902000 13343926 19804000 26687852 33359815 53375704 66719630 106751408 133439260 166799075 213502816 266878520 333598150 533757040 667196300 833995375 1067514080 1334392600 1667990750 2668785200 3335981500 5337570400 6671963000 13343926000 26687852000 33032888813 66065777626 132131555252 165164444065 264263110504 330328888130 528526221008 660657776260 825822220325 1057052442016 1321315552520 1651644440650 2642631105040 3303288881300 4129111101625 5285262210080 6606577762600 8258222203250 13213155525200 16516444406500 26426311050400 33032888813000 66065777626000 132131555252000