135178368 has 96 divisors (see below), whose sum is σ = 388999440. Its totient is φ = 41573376.

The previous prime is 135178301. The next prime is 135178387. The reversal of 135178368 is 863871531.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63855 + ... + 65937.

Almost surely, 2^135178368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135178368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194499720).

135178368 is an abundant number, since it is smaller than the sum of its proper divisors (253821072).

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

135178368 is a wasteful number, since it uses less digits than its factorization.

135178368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2101 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 135178368 is about 11626.6232415091. The cubic root of 135178368 is about 513.2186141952.

It can be divided in two parts, 135 and 178368, that added together give a triangular number (178503 = T₅₉₇).

The spelling of 135178368 in words is "one hundred thirty-five million, one hundred seventy-eight thousand, three hundred sixty-eight".