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132285156480 = 27375293259
BaseRepresentation
bin111101100110011001…
…1110100110010000000
3110122110011212020000000
41323030303310302000
54131410000001410
6140434310000000
712362102164101
oct1731463646200
9418404766000
10132285156480
1151113582004
122177a046000
13c622450629
14658cb923a8
1536937a1dc0
hex1ecccf4c80

132285156480 has 512 divisors, whose sum is σ = 490799520000. Its totient is φ = 34049175552.

The previous prime is 132285156473. The next prime is 132285156517. The reversal of 132285156480 is 84651582231.

132285156480 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 8 + 5 + 1 + 564 + 80 = 666.

It is a super-3 number, since 3×1322851564803 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40589091 + ... + 40592349.

Almost surely, 2132285156480 is an apocalyptic number.

132285156480 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 132285156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245399760000).

132285156480 is an abundant number, since it is smaller than the sum of its proper divisors (358514363520).

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

132285156480 is an frugal number, since it uses more digits than its factorization.

132285156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 132285156480 in words is "one hundred thirty-two billion, two hundred eighty-five million, one hundred fifty-six thousand, four hundred eighty".