136531346224 has 160 divisors (see below), whose sum is σ = 351447505920. Its totient is φ = 49882162176.

The previous prime is 136531346131. The next prime is 136531346249. The reversal of 136531346224 is 422643135631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900859 + ... + 1041445.

It is an arithmetic number, because the mean of its divisors is an integer number (2196546912).

Almost surely, 2^136531346224 is an apocalyptic number.

136531346224 is a gapful number since it is divisible by the number (14) 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 136531346224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175723752960).

136531346224 is an abundant number, since it is smaller than the sum of its proper divisors (214916159696).

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

136531346224 is a wasteful number, since it uses less digits than its factorization.

136531346224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140667 (or 140661 counting only the distinct ones).

The product of its digits is 311040, while the sum is 40.

The spelling of 136531346224 in words is "one hundred thirty-six billion, five hundred thirty-one million, three hundred forty-six thousand, two hundred twenty-four".