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134132141000 = 2353111337101251
BaseRepresentation
bin111110011101011100…
…1100000101111001000
3110211012220021202110002
41330322321200233020
54144200312003000
6141341445142132
712455630246444
oct1747271405710
9424186252402
10134132141000
11519811078a0
1221bb46ba948
13c857cb1390
1466c61b9824
1537509db8d5
hex1f3ae60bc8

134132141000 has 512 divisors, whose sum is σ = 383980746240. Its totient is φ = 43200000000.

The previous prime is 134132140993. The next prime is 134132141069. The reversal of 134132141000 is 141231431.

134132141000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 534390875 + ... + 534391125.

It is an arithmetic number, because the mean of its divisors is an integer number (749962395).

Almost surely, 2134132141000 is an apocalyptic number.

134132141000 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 134132141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191990373120).

134132141000 is an abundant number, since it is smaller than the sum of its proper divisors (249848605240).

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

134132141000 is a wasteful number, since it uses less digits than its factorization.

134132141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 134132141000 its reverse (141231431), we get a palindrome (134273372431).

The spelling of 134132141000 in words is "one hundred thirty-four billion, one hundred thirty-two million, one hundred forty-one thousand".