133335726477408 has 480 divisors, whose sum is σ = 486900902005056. Its totient is φ = 34854260539392.

The previous prime is 133335726477379. The next prime is 133335726477449. The reversal of 133335726477408 is 804774627533331.

133335726477408 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 35 + 72 + 64 + 77 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 24152260 + ... + 29154812.

Almost surely, 2^{133335726477408} is an apocalyptic number.

133335726477408 is a gapful number since it is divisible by the number (18) 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 133335726477408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243450451002528).

133335726477408 is an abundant number, since it is smaller than the sum of its proper divisors (353565175527648).

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

133335726477408 is a wasteful number, since it uses less digits than its factorization.

133335726477408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002708 (or 5002691 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 63.

The spelling of 133335726477408 in words is "one hundred thirty-three trillion, three hundred thirty-five billion, seven hundred twenty-six million, four hundred seventy-seven thousand, four hundred eight".