135314120511 has 16 divisors (see below), whose sum is σ = 200498976000. Its totient is φ = 90194288184.

The previous prime is 135314120483. The next prime is 135314120537. The reversal of 135314120511 is 115021413531.

135314120511 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 141 + 2 + 0 + 511 = 666.

It is not a de Polignac number, because 135314120511 - 2¹⁰ = 135314119487 is a prime.

It is a super-2 number, since 2×135314120511² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135314120311) 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, 254961 + ... + 579338.

It is an arithmetic number, because the mean of its divisors is an integer number (12531186000).

Almost surely, 2^135314120511 is an apocalyptic number.

135314120511 is a deficient number, since it is larger than the sum of its proper divisors (65184855489).

135314120511 is an equidigital number, since it uses as much as digits as its factorization.

135314120511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840315 (or 840309 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 135314120511 in words is "one hundred thirty-five billion, three hundred fourteen million, one hundred twenty thousand, five hundred eleven".