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132120618256 = 241147512
BaseRepresentation
bin111101100001100000…
…0001010010100010000
3110122000201020210222201
41323003000022110100
54131040334241011
6140410111212544
712355033503604
oct1730300122420
9418021223881
10132120618256
1151039710000
1221732b17154
13c5c7331333
146574da1504
1536840eecc1
hex1ec300a510

132120618256 has 75 divisors (see below), whose sum is σ = 281955759015. Its totient is φ = 59974860000.

The previous prime is 132120618197. The next prime is 132120618263. The reversal of 132120618256 is 652816021231.

The square root of 132120618256 is 363484.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 175925881 + ... + 175926631.

Almost surely, 2132120618256 is an apocalyptic number.

132120618256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132120618256 is the 363484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132120618256

132120618256 is an abundant number, since it is smaller than the sum of its proper divisors (149835140759).

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

132120618256 is an frugal number, since it uses more digits than its factorization.

132120618256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

Adding to 132120618256 its reverse (652816021231), we get a palindrome (784936639487).

The spelling of 132120618256 in words is "one hundred thirty-two billion, one hundred twenty million, six hundred eighteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 751 968 1331 1502 1936 2662 3004 5324 6008 8261 10648 12016 14641 16522 21296 29282 33044 58564 66088 90871 117128 132176 181742 234256 363484 564001 726968 999581 1128002 1453936 1999162 2256004 3998324 4512008 6204011 7996648 9024016 10995391 12408022 15993296 21990782 24816044 43981564 49632088 68244121 87963128 99264176 136488242 175926256 272976484 545952968 750685331 1091905936 1501370662 3002741324 6005482648 8257538641 12010965296 16515077282 33030154564 66060309128 132120618256