136809120 has 192 divisors, whose sum is σ = 518676480. Its totient is φ = 29611008.

The previous prime is 136809103. The next prime is 136809133. The reversal of 136809120 is 21908631.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 62769 + ... + 64911.

It is an arithmetic number, because the mean of its divisors is an integer number (2701440).

Almost surely, 2^136809120 is an apocalyptic number.

136809120 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 136809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259338240).

136809120 is an abundant number, since it is smaller than the sum of its proper divisors (381867360).

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

136809120 is a wasteful number, since it uses less digits than its factorization.

136809120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 136809120 is about 11696.5430790469. The cubic root of 136809120 is about 515.2741431687.

The spelling of 136809120 in words is "one hundred thirty-six million, eight hundred nine thousand, one hundred twenty".