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135454040000 = 265419374817
BaseRepresentation
bin111111000100110110…
…0001001111111000000
3110221122000200011222022
41332021230021333000
54204402213240000
6142120550101012
712533451225416
oct1761154117700
9427560604868
10135454040000
115249a302104
122230334a768
13ca08b15c36
1467ad99b2b6
1537cbaa5585
hex1f89b09fc0

135454040000 has 280 divisors, whose sum is σ = 363191054160. Its totient is φ = 49932288000.

The previous prime is 135454039999. The next prime is 135454040027. The reversal of 135454040000 is 40454531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28117592 + ... + 28122408.

Almost surely, 2135454040000 is an apocalyptic number.

135454040000 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 135454040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181595527080).

135454040000 is an abundant number, since it is smaller than the sum of its proper divisors (227737014160).

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

135454040000 is an equidigital number, since it uses as much as digits as its factorization.

135454040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 135454040000 its reverse (40454531), we get a palindrome (135494494531).

The spelling of 135454040000 in words is "one hundred thirty-five billion, four hundred fifty-four million, forty thousand".