134085120 has 320 divisors, whose sum is σ = 494968320. Its totient is φ = 30670848.

The previous prime is 134085113. The next prime is 134085143. The reversal of 134085120 is 21580431.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1697241 + ... + 1697319.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^134085120 is an apocalyptic number.

134085120 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 134085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484160).

134085120 is an abundant number, since it is smaller than the sum of its proper divisors (360883200).

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

134085120 is a wasteful number, since it uses less digits than its factorization.

134085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 134085120 is about 11579.5129431250. The cubic root of 134085120 is about 511.8313246453.

It can be divided in two parts, 13408 and 5120, that added together give a triangular number (18528 = T₁₉₂).

The spelling of 134085120 in words is "one hundred thirty-four million, eighty-five thousand, one hundred twenty".