135416003261 has 16 divisors (see below), whose sum is σ = 168838801920. Its totient is φ = 105513676080.

The previous prime is 135416003231. The next prime is 135416003269. The reversal of 135416003261 is 162300614531.

It is a cyclic number.

It is not a de Polignac number, because 135416003261 - 2¹⁰ = 135416002237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135416003269) 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, 2322710 + ... + 2380296.

It is an arithmetic number, because the mean of its divisors is an integer number (10552425120).

Almost surely, 2^135416003261 is an apocalyptic number.

135416003261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135416003261 is a deficient number, since it is larger than the sum of its proper divisors (33422798659).

135416003261 is a wasteful number, since it uses less digits than its factorization.

135416003261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88144.

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 135416003261 its reverse (162300614531), we get a palindrome (297716617792).

The spelling of 135416003261 in words is "one hundred thirty-five billion, four hundred sixteen million, three thousand, two hundred sixty-one".