136896480 has 288 divisors, whose sum is σ = 554770944. Its totient is φ = 31228416.

The previous prime is 136896469. The next prime is 136896517. The reversal of 136896480 is 84698631.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271909 + ... + 272411.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 2^136896480 is an apocalyptic number.

136896480 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 136896480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277385472).

136896480 is an abundant number, since it is smaller than the sum of its proper divisors (417874464).

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

136896480 is an equidigital number, since it uses as much as digits as its factorization.

136896480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 136896480 is about 11700.2769197998. The cubic root of 136896480 is about 515.3837966069.

The spelling of 136896480 in words is "one hundred thirty-six million, eight hundred ninety-six thousand, four hundred eighty".