136505088 has 180 divisors, whose sum is σ = 422924040. Its totient is φ = 43739136.

The previous prime is 136505081. The next prime is 136505119. The reversal of 136505088 is 880505631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136505081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 601231 + ... + 601457.

It is an arithmetic number, because the mean of its divisors is an integer number (2349578).

Almost surely, 2^136505088 is an apocalyptic number.

136505088 is a gapful number since it is divisible by the number (18) 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 136505088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211462020).

136505088 is an abundant number, since it is smaller than the sum of its proper divisors (286418952).

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

136505088 is an equidigital number, since it uses as much as digits as its factorization.

136505088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 136505088 is about 11683.5391898174. The cubic root of 136505088 is about 514.8921607867.

The spelling of 136505088 in words is "one hundred thirty-six million, five hundred five thousand, eighty-eight".