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132267661120 = 2657257229759
BaseRepresentation
bin111101100101111000…
…1000101011101000000
3110122101221221100212201
41323023301011131000
54131341010123440
6140432443002544
712361500366160
oct1731361053500
9418357840781
10132267661120
1151104712531
1221774209454
13c61b93624a
14658a71a5a0
153691e9819a
hex1ecbc45740

132267661120 has 112 divisors (see below), whose sum is σ = 361359175680. Its totient is φ = 45172260864.

The previous prime is 132267661063. The next prime is 132267661121. The reversal of 132267661120 is 21166762231.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 132267661120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132267661121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460801 + ... + 690559.

Almost surely, 2132267661120 is an apocalyptic number.

132267661120 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 132267661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180679587840).

132267661120 is an abundant number, since it is smaller than the sum of its proper divisors (229091514560).

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

132267661120 is a wasteful number, since it uses less digits than its factorization.

132267661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230040 (or 230030 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 132267661120 in words is "one hundred thirty-two billion, two hundred sixty-seven million, six hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 257 280 320 448 514 560 1028 1120 1285 1799 2056 2240 2570 3598 4112 5140 7196 8224 8995 10280 14392 16448 17990 20560 28784 35980 41120 57568 71960 82240 115136 143920 229759 287840 459518 575680 919036 1148795 1608313 1838072 2297590 3216626 3676144 4595180 6433252 7352288 8041565 9190360 12866504 14704576 16083130 18380720 25733008 32166260 36761440 51466016 59048063 64332520 73522880 102932032 118096126 128665040 236192252 257330080 295240315 413336441 472384504 514660160 590480630 826672882 944769008 1180961260 1653345764 1889538016 2066682205 2361922520 3306691528 3779076032 4133364410 4723845040 6613383056 8266728820 9447690080 13226766112 16533457640 18895380160 26453532224 33066915280 66133830560 132267661120