135178735120 has 160 divisors (see below), whose sum is σ = 378243540864. Its totient is φ = 44267827200.

The previous prime is 135178735093. The next prime is 135178735121. The reversal of 135178735120 is 21537871531.

It is not an unprimeable number, because it can be changed into a prime (135178735121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324939 + ... + 613141.

Almost surely, 2^135178735120 is an apocalyptic number.

135178735120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135178735120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189121770432).

135178735120 is an abundant number, since it is smaller than the sum of its proper divisors (243064805744).

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

135178735120 is a wasteful number, since it uses less digits than its factorization.

135178735120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288281 (or 288275 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 135178735120 in words is "one hundred thirty-five billion, one hundred seventy-eight million, seven hundred thirty-five thousand, one hundred twenty".