136233680 has 80 divisors (see below), whose sum is σ = 348192000. Its totient is φ = 49159680.

The previous prime is 136233649. The next prime is 136233689. The reversal of 136233680 is 86332631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136233689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130601 + ... + 131639.

It is an arithmetic number, because the mean of its divisors is an integer number (4352400).

Almost surely, 2^136233680 is an apocalyptic number.

136233680 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 136233680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096000).

136233680 is an abundant number, since it is smaller than the sum of its proper divisors (211958320).

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

136233680 is a wasteful number, since it uses less digits than its factorization.

136233680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 136233680 is about 11671.9184370008. The cubic root of 136233680 is about 514.5506873828.

The spelling of 136233680 in words is "one hundred thirty-six million, two hundred thirty-three thousand, six hundred eighty".