135316459201 has 16 divisors (see below), whose sum is σ = 174148374528. Its totient is φ = 102040059600.

The previous prime is 135316459177. The next prime is 135316459211. The reversal of 135316459201 is 102954613531.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 135316459201 - 2⁹ = 135316458689 is a prime.

It is a super-3 number, since 3×135316459201³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135316459211) 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, 28342075 + ... + 28346848.

It is an arithmetic number, because the mean of its divisors is an integer number (10884273408).

Almost surely, 2^135316459201 is an apocalyptic number.

135316459201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135316459201 is a deficient number, since it is larger than the sum of its proper divisors (38831915327).

135316459201 is a wasteful number, since it uses less digits than its factorization.

135316459201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56688972.

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 135316459201 in words is "one hundred thirty-five billion, three hundred sixteen million, four hundred fifty-nine thousand, two hundred one".