136821312 has 70 divisors (see below), whose sum is σ = 405596598. Its totient is φ = 45605376.

The previous prime is 136821283. The next prime is 136821323. The reversal of 136821312 is 213128631.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 113550336 + 23270976 = 10656^2 + 4824^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 8013 + ... + 18380.

Almost surely, 2^136821312 is an apocalyptic number.

136821312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136821312 is an abundant number, since it is smaller than the sum of its proper divisors (268775286).

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

136821312 is an equidigital number, since it uses as much as digits as its factorization.

136821312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26417 (or 26398 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 136821312 is about 11697.0642470664. The cubic root of 136821312 is about 515.2894492529.

Adding to 136821312 its reverse (213128631), we get a palindrome (349949943).

The spelling of 136821312 in words is "one hundred thirty-six million, eight hundred twenty-one thousand, three hundred twelve".