133342488726408 has 288 divisors, whose sum is σ = 392812851974400. Its totient is φ = 40843874792448.

The previous prime is 133342488726281. The next prime is 133342488726439. The reversal of 133342488726408 is 804627884243331.

133342488726408 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 42 + 488 + 72 + 6 + 40 + 8 = 666.

133342488726408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13560707860 + ... + 13560717692.

It is an arithmetic number, because the mean of its divisors is an integer number (1363933513800).

Almost surely, 2^{133342488726408} is an apocalyptic number.

133342488726408 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 133342488726408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196406425987200).

133342488726408 is an abundant number, since it is smaller than the sum of its proper divisors (259470363247992).

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

133342488726408 is a wasteful number, since it uses less digits than its factorization.

133342488726408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14773 (or 14753 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 133342488726408 in words is "one hundred thirty-three trillion, three hundred forty-two billion, four hundred eighty-eight million, seven hundred twenty-six thousand, four hundred eight".