136316649600 has 240 divisors, whose sum is σ = 503039370570. Its totient is φ = 36351037440.

The previous prime is 136316649583. The next prime is 136316649611. The reversal of 136316649600 is 6946613631.

136316649600 is a `hidden beast` number, since 1 + 3 + 6 + 31 + 6 + 6 + 4 + 9 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 119389598784 + 16927050816 = 345528^2 + 130104^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3757 + ... + 522156.

Almost surely, 2^136316649600 is an apocalyptic number.

136316649600 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 136316649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251519685285).

136316649600 is an abundant number, since it is smaller than the sum of its proper divisors (366722720970).

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

136316649600 is an equidigital number, since it uses as much as digits as its factorization.

136316649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525949 (or 525923 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 136316649600 in words is "one hundred thirty-six billion, three hundred sixteen million, six hundred forty-nine thousand, six hundred".