135201401344053 has 192 divisors, whose sum is σ = 228257070612480. Its totient is φ = 79259698022400.

The previous prime is 135201401344043. The next prime is 135201401344073. The reversal of 135201401344053 is 350443104102531.

135201401344053 is a `hidden beast` number, since 1 + 3 + 5 + 20 + 140 + 1 + 3 + 440 + 53 = 666.

It is not a de Polignac number, because 135201401344053 - 2¹⁸ = 135201401081909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135201401343999 and 135201401344017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135201401344013) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33640555678 + ... + 33640559696.

It is an arithmetic number, because the mean of its divisors is an integer number (1188838909440).

Almost surely, 2^{135201401344053} is an apocalyptic number.

It is an amenable number.

135201401344053 is a deficient number, since it is larger than the sum of its proper divisors (93055669268427).

135201401344053 is a wasteful number, since it uses less digits than its factorization.

135201401344053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6630 (or 6618 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 135201401344053 its reverse (350443104102531), we get a palindrome (485644505446584).

The spelling of 135201401344053 in words is "one hundred thirty-five trillion, two hundred one billion, four hundred one million, three hundred forty-four thousand, fifty-three".