136413222000 has 240 divisors, whose sum is σ = 483414955296. Its totient is φ = 33069696000.

The previous prime is 136413221951. The next prime is 136413222017. The reversal of 136413222000 is 222314631.

136413222000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 632052 + ... + 819948.

Almost surely, 2^136413222000 is an apocalyptic number.

136413222000 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 136413222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241707477648).

136413222000 is an abundant number, since it is smaller than the sum of its proper divisors (347001733296).

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

136413222000 is a wasteful number, since it uses less digits than its factorization.

136413222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187945 (or 187918 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 136413222000 its reverse (222314631), we get a palindrome (136635536631).

The spelling of 136413222000 in words is "one hundred thirty-six billion, four hundred thirteen million, two hundred twenty-two thousand".