135312644428401 has 32 divisors (see below), whose sum is σ = 197958841379712. Its totient is φ = 81532489282560.

The previous prime is 135312644428397. The next prime is 135312644428463. The reversal of 135312644428401 is 104824446213531.

135312644428401 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135312644428401 - 2² = 135312644428397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135312644428001) 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, 594267291 + ... + 594494943.

It is an arithmetic number, because the mean of its divisors is an integer number (6186213793116).

Almost surely, 2^{135312644428401} is an apocalyptic number.

135312644428401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135312644428401 is a deficient number, since it is larger than the sum of its proper divisors (62646196951311).

135312644428401 is a wasteful number, since it uses less digits than its factorization.

135312644428401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331953.

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 135312644428401 in words is "one hundred thirty-five trillion, three hundred twelve billion, six hundred forty-four million, four hundred twenty-eight thousand, four hundred one".