134331414401 has 16 divisors (see below), whose sum is σ = 139188783888. Its totient is φ = 129557299200.

The previous prime is 134331414397. The next prime is 134331414403. The reversal of 134331414401 is 104414133431.

It can be written as a sum of positive squares in 8 ways, for example, as 25579204225 + 108752210176 = 159935^2 + 329776^2 .

It is a cyclic number.

It is not a de Polignac number, because 134331414401 - 2² = 134331414397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (134331414403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1304081 + ... + 1403313.

It is an arithmetic number, because the mean of its divisors is an integer number (8699298993).

Almost surely, 2^134331414401 is an apocalyptic number.

It is an amenable number.

134331414401 is a deficient number, since it is larger than the sum of its proper divisors (4857369487).

134331414401 is a wasteful number, since it uses less digits than its factorization.

134331414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99652.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 134331414401 its reverse (104414133431), we get a palindrome (238745547832).

The spelling of 134331414401 in words is "one hundred thirty-four billion, three hundred thirty-one million, four hundred fourteen thousand, four hundred one".