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132230200564000 = 255371117131263733
BaseRepresentation
bin11110000100001100111110…
…001000100001100100100000
3122100012002021000211102200201
4132010030332020201210200
5114312424422321022000
61145121414315554544
736565213431546220
oct3604147610414440
9570162230742621
10132230200564000
1139150570a90a10
12129b712275ba54
1358a233cc24726
142491d93a66080
15104492704096a
hex78433e221920

132230200564000 has 1536 divisors, whose sum is σ = 434392985714688. Its totient is φ = 38295429120000.

The previous prime is 132230200563883. The next prime is 132230200564157. The reversal of 132230200564000 is 465002032231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 132230200564000.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 180395907634 + ... + 180395908366.

It is an arithmetic number, because the mean of its divisors is an integer number (282807933408).

Almost surely, 2132230200564000 is an apocalyptic number.

132230200564000 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 132230200564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217196492857344).

132230200564000 is an abundant number, since it is smaller than the sum of its proper divisors (302162785150688).

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

132230200564000 is a wasteful number, since it uses less digits than its factorization.

132230200564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 132230200564000 its reverse (465002032231), we get a palindrome (132695202596231).

The spelling of 132230200564000 in words is "one hundred thirty-two trillion, two hundred thirty billion, two hundred million, five hundred sixty-four thousand".