136638080 has 128 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 51609600.

The previous prime is 136638079. The next prime is 136638097. The reversal of 136638080 is 80836631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 136638080.

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, 1408592 + ... + 1408688.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 2^136638080 is an apocalyptic number.

136638080 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 136638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

136638080 is an abundant number, since it is smaller than the sum of its proper divisors (208823680).

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

136638080 is an equidigital number, since it uses as much as digits as its factorization.

136638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 136638080 is about 11689.2292303642. The cubic root of 136638080 is about 515.0593201535.

The spelling of 136638080 in words is "one hundred thirty-six million, six hundred thirty-eight thousand, eighty".