135116160 has 64 divisors (see below), whose sum is σ = 430688880. Its totient is φ = 36030464.

The previous prime is 135116147. The next prime is 135116167. The reversal of 135116160 is 61611531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135116160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135116167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33267 + ... + 37106.

Almost surely, 2^135116160 is an apocalyptic number.

135116160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135116160 is an abundant number, since it is smaller than the sum of its proper divisors (295572720).

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

135116160 is an equidigital number, since it uses as much as digits as its factorization.

135116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70395 (or 70383 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 135116160 is about 11623.9476943076. The cubic root of 135116160 is about 513.1398757533.

Adding to 135116160 its reverse (61611531), we get a palindrome (196727691).

It can be divided in two parts, 135 and 116160, that multiplied together give a square (15681600 = 3960²).

The spelling of 135116160 in words is "one hundred thirty-five million, one hundred sixteen thousand, one hundred sixty".