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135932160000 = 211354713389
BaseRepresentation
bin111111010011000110…
…0000010100000000000
3110222212100100012022110
41332212030002200000
54211342113110000
6142240225535320
712551345203320
oct1764614024000
9428770305273
10135932160000
11527151847aa
12224174a4540
13ca83ba9c90
146817299280
153808a4a850
hex1fa6302800

135932160000 has 960 divisors, whose sum is σ = 558788630400. Its totient is φ = 28606464000.

The previous prime is 135932159929. The next prime is 135932160011. The reversal of 135932160000 is 61239531.

135932160000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 135932160000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 349439806 + ... + 349440194.

It is an arithmetic number, because the mean of its divisors is an integer number (582071490).

Almost surely, 2135932160000 is an apocalyptic number.

135932160000 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 135932160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279394315200).

135932160000 is an abundant number, since it is smaller than the sum of its proper divisors (422856470400).

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

135932160000 is an equidigital number, since it uses as much as digits as its factorization.

135932160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

Adding to 135932160000 its reverse (61239531), we get a palindrome (135993399531).

The spelling of 135932160000 in words is "one hundred thirty-five billion, nine hundred thirty-two million, one hundred sixty thousand".