135058320 has 160 divisors (see below), whose sum is σ = 480445440. Its totient is φ = 34836480.

The previous prime is 135058291. The next prime is 135058333. The reversal of 135058320 is 23850531.

135058320 is a `hidden beast` number, since 13 + 50 + 583 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 65952 + ... + 67968.

It is an arithmetic number, because the mean of its divisors is an integer number (3002784).

Almost surely, 2^135058320 is an apocalyptic number.

135058320 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 135058320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240222720).

135058320 is an abundant number, since it is smaller than the sum of its proper divisors (345387120).

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

135058320 is a wasteful number, since it uses less digits than its factorization.

135058320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 135058320 is about 11621.4594608423. The cubic root of 135058320 is about 513.0666443290.

The spelling of 135058320 in words is "one hundred thirty-five million, fifty-eight thousand, three hundred twenty".