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132577225000 = 235511482099
BaseRepresentation
bin111101101111000110…
…1111110100100101000
3110200012112102211200121
41323132031332210220
54133004232200000
6140523302013024
712402246550603
oct1733615764450
9420175384617
10132577225000
1151253429450
122183ba17174
13c66ab0223c
1465b989d33a
1536ae245b1a
hex1ede37e928

132577225000 has 96 divisors (see below), whose sum is σ = 338954868000. Its totient is φ = 48209800000.

The previous prime is 132577224961. The next prime is 132577225007. The reversal of 132577225000 is 522775231.

It is not an unprimeable number, because it can be changed into a prime (132577225007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33951 + ... + 516049.

It is an arithmetic number, because the mean of its divisors is an integer number (3530779875).

Almost surely, 2132577225000 is an apocalyptic number.

132577225000 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 132577225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169477434000).

132577225000 is an abundant number, since it is smaller than the sum of its proper divisors (206377643000).

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

132577225000 is an equidigital number, since it uses as much as digits as its factorization.

132577225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482141 (or 482117 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The spelling of 132577225000 in words is "one hundred thirty-two billion, five hundred seventy-seven million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 3125 5000 5500 6250 6875 11000 12500 13750 25000 27500 34375 55000 68750 137500 275000 482099 964198 1928396 2410495 3856792 4820990 5303089 9641980 10606178 12052475 19283960 21212356 24104950 26515445 42424712 48209900 53030890 60262375 96419800 106061780 120524750 132577225 212123560 241049500 265154450 301311875 482099000 530308900 602623750 662886125 1060617800 1205247500 1325772250 1506559375 2410495000 2651544500 3013118750 3314430625 5303089000 6026237500 6628861250 12052475000 13257722500 16572153125 26515445000 33144306250 66288612500 132577225000