164314240134340 has 48 divisors (see below), whose sum is σ = 351741720356208. Its totient is φ = 64454177309184.

The previous prime is 164314240134293. The next prime is 164314240134347. The reversal of 164314240134340 is 43431042413461.

It can be written as a sum of positive squares in 8 ways, for example, as 5137511825664 + 159176728308676 = 2266608^2 + 12616526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164314240134293 and 164314240134302.

It is not an unprimeable number, because it can be changed into a prime (164314240134347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35576727 + ... + 39929086.

It is an arithmetic number, because the mean of its divisors is an integer number (7327952507421).

Almost surely, 2^{164314240134340} is an apocalyptic number.

164314240134340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164314240134340 is an abundant number, since it is smaller than the sum of its proper divisors (187427480221868).

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

164314240134340 is a wasteful number, since it uses less digits than its factorization.

164314240134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75507928 (or 75507926 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 164314240134340 in words is "one hundred sixty-four trillion, three hundred fourteen billion, two hundred forty million, one hundred thirty-four thousand, three hundred forty".