135111375 has 192 divisors, whose sum is σ = 312998400. Its totient is φ = 57153600.

The previous prime is 135111313. The next prime is 135111421. The reversal of 135111375 is 573111531.

135111375 is a `hidden beast` number, since 13 + 511 + 137 + 5 = 666.

It is not a de Polignac number, because 135111375 - 2¹³ = 135103183 is a prime.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 135111375 = 135³ + 510³ = 240³ + 495³.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3142104 + ... + 3142146.

It is an arithmetic number, because the mean of its divisors is an integer number (1630200).

Almost surely, 2^135111375 is an apocalyptic number.

135111375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135111375 is an abundant number, since it is smaller than the sum of its proper divisors (177887025).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135111375 is a wasteful number, since it uses less digits than its factorization.

135111375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 77 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 135111375 is about 11623.7418674023. The cubic root of 135111375 is about 513.1338182413.

The spelling of 135111375 in words is "one hundred thirty-five million, one hundred eleven thousand, three hundred seventy-five".