135078720 has 112 divisors (see below), whose sum is σ = 490167168. Its totient is φ = 30873600.

The previous prime is 135078709. The next prime is 135078739. The reversal of 135078720 is 27870531.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3331 + ... + 16770.

Almost surely, 2^135078720 is an apocalyptic number.

135078720 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 135078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245083584).

135078720 is an abundant number, since it is smaller than the sum of its proper divisors (355088448).

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

135078720 is a wasteful number, since it uses less digits than its factorization.

135078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20128 (or 20118 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 135078720 is about 11622.3371143673. The cubic root of 135078720 is about 513.0924752259.

The spelling of 135078720 in words is "one hundred thirty-five million, seventy-eight thousand, seven hundred twenty".