135416104302401 has 32 divisors (see below), whose sum is σ = 146907465019392. Its totient is φ = 124080228820800.

The previous prime is 135416104302389. The next prime is 135416104302419. The reversal of 135416104302401 is 104203401614531.

It is a cyclic number.

It is not a de Polignac number, because 135416104302401 - 2¹⁸ = 135416104040257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135416104302431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11854682576 + ... + 11854693998.

It is an arithmetic number, because the mean of its divisors is an integer number (4590858281856).

Almost surely, 2^{135416104302401} is an apocalyptic number.

It is an amenable number.

135416104302401 is a deficient number, since it is larger than the sum of its proper divisors (11491360716991).

135416104302401 is a wasteful number, since it uses less digits than its factorization.

135416104302401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17973.

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 135416104302401 its reverse (104203401614531), we get a palindrome (239619505916932).

The spelling of 135416104302401 in words is "one hundred thirty-five trillion, four hundred sixteen billion, one hundred four million, three hundred two thousand, four hundred one".