133736226011136 has 1920 divisors, whose sum is σ = 483990002496000. Its totient is φ = 36136521695232.

The previous prime is 133736226011093. The next prime is 133736226011147. The reversal of 133736226011136 is 631110622637331.

133736226011136 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 3 + 6 + 2 + 2 + 601 + 1 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133736226011091 and 133736226011100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 482802259830 + ... + 482802260106.

It is an arithmetic number, because the mean of its divisors is an integer number (252078126300).

Almost surely, 2^{133736226011136} is an apocalyptic number.

133736226011136 is a gapful number since it is divisible by the number (16) 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 133736226011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241995001248000).

133736226011136 is an abundant number, since it is smaller than the sum of its proper divisors (350253776484864).

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

133736226011136 is an frugal number, since it uses more digits than its factorization.

133736226011136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

Adding to 133736226011136 its reverse (631110622637331), we get a palindrome (764846848648467).

The spelling of 133736226011136 in words is "one hundred thirty-three trillion, seven hundred thirty-six billion, two hundred twenty-six million, eleven thousand, one hundred thirty-six".