133399808493408 has 480 divisors, whose sum is σ = 402097799337696. Its totient is φ = 43373113638912.

The previous prime is 133399808493407. The next prime is 133399808493473. The reversal of 133399808493408 is 804394808993331.

133399808493408 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 9 + 98 + 0 + 8 + 493 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133399808493407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47591796135 + ... + 47591798937.

Almost surely, 2^{133399808493408} is an apocalyptic number.

133399808493408 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 133399808493408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201048899668848).

133399808493408 is an abundant number, since it is smaller than the sum of its proper divisors (268697990844288).

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

133399808493408 is a wasteful number, since it uses less digits than its factorization.

133399808493408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 133399808493408 in words is "one hundred thirty-three trillion, three hundred ninety-nine billion, eight hundred eight million, four hundred ninety-three thousand, four hundred eight".