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136546421760 = 2103357141107
BaseRepresentation
bin111111100101011001…
…1010000110000000000
3111001110011011221001000
41333022303100300000
54214121340444020
6142421211412000
712602514302040
oct1771263206000
9431404157030
10136546421760
11529aa993751
1222569154000
13cb5122a188
146874ab5720
153842934090
hex1fcacd0c00

136546421760 has 352 divisors, whose sum is σ = 554588305920. Its totient is φ = 31210389504.

The previous prime is 136546421743. The next prime is 136546421813. The reversal of 136546421760 is 67124645631.

136546421760 is a `hidden beast` number, since 1 + 3 + 6 + 546 + 42 + 1 + 7 + 60 = 666.

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 31 ways as a sum of consecutive naturals, for example, 897127 + ... + 1038233.

It is an arithmetic number, because the mean of its divisors is an integer number (1575534960).

Almost surely, 2136546421760 is an apocalyptic number.

136546421760 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 136546421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277294152960).

136546421760 is an abundant number, since it is smaller than the sum of its proper divisors (418041884160).

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

136546421760 is a wasteful number, since it uses less digits than its factorization.

136546421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141148 (or 141124 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 136546421760 in words is "one hundred thirty-six billion, five hundred forty-six million, four hundred twenty-one thousand, seven hundred sixty".