136653120000 has 600 divisors, whose sum is σ = 514506605184. Its totient is φ = 34839552000.

The previous prime is 136653119971. The next prime is 136653120011. The reversal of 136653120000 is 21356631.

136653120000 is a `hidden beast` number, since 1 + 3 + 6 + 653 + 1 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 66238969 + ... + 66241031.

Almost surely, 2^136653120000 is an apocalyptic number.

136653120000 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 136653120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257253302592).

136653120000 is an abundant number, since it is smaller than the sum of its proper divisors (377853485184).

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

136653120000 is an equidigital number, since it uses as much as digits as its factorization.

136653120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 136653120000 its reverse (21356631), we get a palindrome (136674476631).

The spelling of 136653120000 in words is "one hundred thirty-six billion, six hundred fifty-three million, one hundred twenty thousand".