136084320 has 288 divisors, whose sum is σ = 510602400. Its totient is φ = 33841152.

The previous prime is 136084309. The next prime is 136084339. The reversal of 136084320 is 23480631.

It is a happy number.

136084320 is a `hidden beast` number, since 13 + 608 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248426 + ... + 1248534.

It is an arithmetic number, because the mean of its divisors is an integer number (1772925).

Almost surely, 2^136084320 is an apocalyptic number.

136084320 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 136084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255301200).

136084320 is an abundant number, since it is smaller than the sum of its proper divisors (374518080).

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

136084320 is a wasteful number, since it uses less digits than its factorization.

136084320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 136084320 is about 11665.5184196846. The cubic root of 136084320 is about 514.3625758138.

The spelling of 136084320 in words is "one hundred thirty-six million, eighty-four thousand, three hundred twenty".