136408320 has 144 divisors (see below), whose sum is σ = 484182720. Its totient is φ = 36366336.

The previous prime is 136408319. The next prime is 136408361. The reversal of 136408320 is 23804631.

It is a happy number.

136408320 is a `hidden beast` number, since 13 + 640 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 32587 + ... + 36533.

It is an arithmetic number, because the mean of its divisors is an integer number (3362380).

Almost surely, 2^136408320 is an apocalyptic number.

136408320 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 136408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242091360).

136408320 is an abundant number, since it is smaller than the sum of its proper divisors (347774400).

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

136408320 is an equidigital number, since it uses as much as digits as its factorization.

136408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3957 counting only the distinct ones).

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

The square root of 136408320 is about 11679.3972447212. The cubic root of 136408320 is about 514.7704635822.

The spelling of 136408320 in words is "one hundred thirty-six million, four hundred eight thousand, three hundred twenty".