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136328637312 = 273273345017
BaseRepresentation
bin111111011110111010…
…0011110101110000000
3111000212222101022221100
41332331310132232000
54213200112343222
6142343431454400
712564231204000
oct1767564365600
9430788338840
10136328637312
11528a8a63aaa
1222508227400
13cb1808703a
146853bc4000
15382d7654ac
hex1fbdd1eb80

136328637312 has 192 divisors, whose sum is σ = 457493868000. Its totient is φ = 38950926336.

The previous prime is 136328637281. The next prime is 136328637323. The reversal of 136328637312 is 213736823631.

136328637312 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 2 + 8 + 637 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222628 + ... + 567644.

Almost surely, 2136328637312 is an apocalyptic number.

136328637312 is a gapful number since it is divisible by the number (12) 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 136328637312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228746934000).

136328637312 is an abundant number, since it is smaller than the sum of its proper divisors (321165230688).

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

136328637312 is an equidigital number, since it uses as much as digits as its factorization.

136328637312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345058 (or 345029 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 136328637312 in words is "one hundred thirty-six billion, three hundred twenty-eight million, six hundred thirty-seven thousand, three hundred twelve".