165545750340 has 144 divisors (see below), whose sum is σ = 507742762800. Its totient is φ = 43655086080.

The previous prime is 165545750323. The next prime is 165545750347. The reversal of 165545750340 is 43057545561.

165545750340 is a `hidden beast` number, since 1 + 6 + 5 + 54 + 57 + 503 + 40 = 666.

165545750340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 24974745156 + 140571005184 = 158034^2 + 374928^2 .

It is a super-2 number, since 2×165545750340² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (165545750347) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 27042480 + ... + 27048600.

Almost surely, 2^165545750340 is an apocalyptic number.

165545750340 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 165545750340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253871381400).

165545750340 is an abundant number, since it is smaller than the sum of its proper divisors (342197012460).

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

165545750340 is a wasteful number, since it uses less digits than its factorization.

165545750340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7782 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 165545750340 in words is "one hundred sixty-five billion, five hundred forty-five million, seven hundred fifty thousand, three hundred forty".