136381056 has 128 divisors (see below), whose sum is σ = 418608000. Its totient is φ = 38535168.

The previous prime is 136381043. The next prime is 136381061. The reversal of 136381056 is 650183631.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303520 + ... + 303968.

It is an arithmetic number, because the mean of its divisors is an integer number (3270375).

Almost surely, 2^136381056 is an apocalyptic number.

136381056 is a gapful number since it is divisible by the number (16) 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 136381056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209304000).

136381056 is an abundant number, since it is smaller than the sum of its proper divisors (282226944).

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

136381056 is a wasteful number, since it uses less digits than its factorization.

136381056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 136381056 is about 11678.2300028729. The cubic root of 136381056 is about 514.7361654859.

The spelling of 136381056 in words is "one hundred thirty-six million, three hundred eighty-one thousand, fifty-six".